100

{{Redirect|Hundred|other uses|100 (disambiguation)|and|Hundred (disambiguation)}} {{Infobox number | number = 100 | cardinal = one hundred | divisor = 1, 2, 4, 5, 10, 20, 25, 50, 100 | roman = C, c | roman unicode = Ⅽ, ⅽ, Ｃ, ｃ | lang1 = Greek numeral | lang1 symbol = ρ | lang2 = Arabic | lang2 symbol = <span style="font-size:150%;">١٠٠</span> | lang3 = Bengali | lang3 symbol = <span style="font-size:150%;">১০০</span> | lang4 = Chinese numeral | lang4 symbol = 佰,百 | lang5 = Devanagari | lang5 symbol = <span style="font-size:150%;">१००</span> | lang6 = Hebrew | lang6 symbol = <span style="font-size:150%;">ק</span> | lang7 = Khmer | lang7 symbol = ១០០ |lang8=Armenian|lang8 symbol=Ճ| lang9 = Tamil | lang9 symbol = ௱, க௦௦ | lang10 = Thai | lang10 symbol = ๑๐๐ |lang11=Egyptian hieroglyph|lang11 symbol=<span style="font-size:300%;">𓍢</span>|lang12=Babylonian cuneiform|lang12 symbol=𒐕𒐏}} '''100''' or '''one hundred''' (Roman numeral: '''C'''){{refn|Reinforced by but not originally derived from Latin {{lang|la|centum}}.}} is the natural number following 99 and preceding 101.

==In mathematics== thumb|100 as the sum of the first positive cubes 100 is the square of 10 (in scientific notation it is written as 10²). The standard SI prefix for a hundred is "hecto-".

100 is the basis of percentages ({{Lang|la|per centum}} meaning "by the hundred" in Latin), with 100% being a full amount.

100 is a Harshad number in decimal, and also in base-four, a base in-which it is also a self-descriptive number.<ref>{{Cite web|url=https://oeis.org/A005349|title=Sloane's A005349 : Niven (or Harshad) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref><ref>{{Cite OEIS |A108551 |Self-descriptive numbers in various bases represented in base 10 |access-date=2022-12-08 }}</ref>

100 is the sum of the first nine prime numbers, from 2 through 23.<ref>{{cite OEIS|A007504|Sum of the first n primes.}}</ref> It is also divisible by the number of primes below it, 25.<ref>{{cite OEIS|A057809|Numbers n such that pi(n) divides n.}}</ref>

100 cannot be expressed as the difference between any integer and the total of coprimes below it, making it a noncototient.<ref>{{Cite OEIS |A005278 |Noncototients |access-date=2022-12-08 }}</ref>

100 has a reduced totient of 20, and an Euler totient of 40.<ref>{{Cite OEIS |A002322 |Reduced totient function |access-date=2022-12-08 }}</ref><ref>{{Cite OEIS |A000010 |Euler totient function }}</ref> A totient value of 100 is obtained from four numbers: 101, 125, 202, and 250.

100 can be expressed as a sum of some of its divisors, making it a semiperfect number.<ref>{{Cite OEIS |A005835 |Pseudoperfect (or semiperfect) numbers n |access-date=2022-12-08 }}</ref> The geometric mean of its nine divisors is 10.

100 is the sum of the cubes of the first four positive integers (100 = 1³ + 2³ + 3³ + 4³).<ref>{{Cite OEIS |A025403 |Numbers that are the sum of 4 positive cubes in exactly 1 way. |access-date=2022-12-08 }}</ref> This is related by Nicomachus's theorem to the fact that 100 also equals the square of the sum of the first four positive integers: {{nowrap|1=100 = 10² = (1 + 2 + 3 + 4)²}}.<ref>{{Cite OEIS|A000537|name=Sum of first n cubes; or n-th triangular number squared}}</ref>

100 = 2⁶ + 6², thus 100 is the seventh Leyland number.<ref>{{Cite web|url=https://oeis.org/A076980|title=Sloane's A076980 : Leyland numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref> 100 is also the seventeenth Erdős–Woods number, and the fourth 18-gonal number.<ref>{{Cite OEIS |A059756 |Erdős-Woods numbers: the length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints |access-date=2022-11-30 }}</ref><ref>{{Cite web|url=https://oeis.org/A051870|title=Sloane's A051870 : 18-gonal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref>

It is the 10th star number<ref>{{Cite OEIS |A003154 |access-date=2023-09-02 }}</ref> (whose digit sum also adds to 10 in decimal).

==In history== *In medieval contexts, it may be described as the '''short hundred''' or five score in order to differentiate the English and Germanic use of "hundred" to describe the long hundred{{refn|see {{crossreference|{{sectionlink|Duodecimal|Origin}}}}}} of six score or 120.

==In money== thumb | Hundred rupee note India Most of the world's currencies are divided into 100 subunits. For example, one euro is one hundred cents and one pound sterling is one hundred pence.

[[File:Obverse of the series 2021 $100 Federal Reserve Note.jpg|thumb|right|250px|The U.S. hundred-dollar bill, Series 2021]] The United States one-hundred-dollar bill has Benjamin Franklin's portrait; this "Benjamin" is the largest American banknote in circulation.

==In other fields==

=== Computers and software === * The HTTP status code indicating that the client should continue with its request. * 100 Mbps Ethernet: Fast Ethernet standard.

=== Science and measurement === In zoology, the group of centipedes (Chilopoda) is classified as a subclass of millipedes. Centipedes are characterised by having between 15 and 191 pairs of legs. Although the name refers to "hundred", the actual number varies gradually.

With regard to the biological value of proteins, the number 100 is used as a reference value: the biological value of a protein is measured by how well the dietary protein can be converted into the body's own protein. The chicken egg was arbitrarily set at a value of 100, and other proteins are evaluated relative to this.

Anders Celsius defined 100° as the boiling point and 0° as the melting point of water for his temperature scale. In 1744, shortly after Celsius' death, the modern Celsius scale was introduced by Carl von Linné, in which the boiling point of water is assigned the value 100°C and the freezing point the value 0°C. * 100 centimetres '''=''' 1 meter: Used in metric measurements. * 100 is the atomic number of Fermium (Fm): A synthetic chemical element in the periodic table.

=== Sports === * 100-meter sprint: A Popular Olympic event.

=== Culture === * 100 emoji (💯): Commonly used to represent something excellent or perfect.

==See also== {{Portal|Mathematics}} * ''1 vs. 100'' * AFI's 100 Years... * Hundred (county division) * Hundred (word) * Hundred Days * Hundred Years' War * List of highways numbered 100 * Top 100

== References == <!--- See Wikipedia:Footnotes on how to create references using <ref></ref> tags which will then appear here automatically --> {{Reflist}} * Wells, D. ''The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987): 133

==External links== {{Wiktionary|hundred}} {{Commons category}} * {{cite EB1911|wstitle=Hundred}} * {{cite web |title=On the Number 100 |url=https://www.wisdomportal.com/Numbers/100.html |website=WisdomPortal.com}}

{{Integers|1}} {{Authority control}}

{{DEFAULTSORT:100 (Number)}} Category:Integers Category:100 (number)