# 103 (number)

Short description: Natural number
 ← 102 103 104 →
Cardinalone hundred three
Ordinal103rd
(one hundred third)
Factorizationprime
Prime27th
Greek numeralΡΓ´
Roman numeralCIII
Binary11001112
Ternary102113
Quaternary12134
Quinary4035
Senary2516
Octal1478
Duodecimal8712
Vigesimal5320
Base 362V36

103 (one hundred [and] three) is the natural number following 102 and preceding 104.

## In mathematics

103 is a prime number, the largest prime factor of $\displaystyle{ 6!+1=721=7\cdot 103 }$.[1] The previous prime is 101, making them both twin primes.[2] It is the fifth irregular prime,[3] because it divides the numerator of the Bernoulli number $\displaystyle{ B_{24}=-\frac{236364091}{2730}=-\frac{103\cdot 2294797}{2730}. }$

The equation $\displaystyle{ 64^3+94^3=103^3+1 }$ makes 103 part of a "Fermat near miss".[4]

There are 103 different connected series-parallel partial orders on exactly six unlabeled elements.[5]

103 is conjectured to be the smallest number for which repeatedly reversing the digits of its ternary representation, and adding the number to its reversal, does not eventually reach a ternary palindrome.[6]