101315903 has 16 divisors (see below), whose sum is σ = 115940160. Its totient is φ = 87707136.

The previous prime is 101315861. The next prime is 101315917. The reversal of 101315903 is 309513101.

It is a cyclic number.

It is not a de Polignac number, because 101315903 - 2¹⁰ = 101314879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101315983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78701 + ... + 79977.

It is an arithmetic number, because the mean of its divisors is an integer number (7246260).

Almost surely, 2^101315903 is an apocalyptic number.

101315903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101315903 is a deficient number, since it is larger than the sum of its proper divisors (14624257).

101315903 is a wasteful number, since it uses less digits than its factorization.

101315903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666.

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 101315903 is about 10065.5801124426. The cubic root of 101315903 is about 466.1859778836.

The spelling of 101315903 in words is "one hundred one million, three hundred fifteen thousand, nine hundred three".