# 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 $\displaystyle{ 6!+1=721=7\cdot 103 }$. The previous prime is 101, making them both twin primes. It is the fifth irregular prime, 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".

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

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.