103957931 has 16 divisors (see below), whose sum is σ = 130049280. Its totient is φ = 80731680.

The previous prime is 103957921. The next prime is 103957943. The reversal of 103957931 is 139759301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103957931 is a prime.

It is a super-2 number, since 2×103957931² = 21614502835601522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103957921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22280 + ... + 26538.

It is an arithmetic number, because the mean of its divisors is an integer number (8128080).

Almost surely, 2^103957931 is an apocalyptic number.

103957931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103957931 is a deficient number, since it is larger than the sum of its proper divisors (26091349).

103957931 is a wasteful number, since it uses less digits than its factorization.

103957931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594.

The product of its (nonzero) digits is 25515, while the sum is 38.

The square root of 103957931 is about 10195.9762161355. The cubic root of 103957931 is about 470.2035198263.

The spelling of 103957931 in words is "one hundred three million, nine hundred fifty-seven thousand, nine hundred thirty-one".