10904157 has 72 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 5702400.

The previous prime is 10904149. The next prime is 10904197. The reversal of 10904157 is 75140901.

10904157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10904157 - 2³ = 10904149 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10904157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10904107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351732 + ... + 351762.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 2^10904157 is an apocalyptic number.

10904157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10904157 is a deficient number, since it is larger than the sum of its proper divisors (9013923).

10904157 is a wasteful number, since it uses less digits than its factorization.

10904157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10904157 is about 3302.1443033278. The cubic root of 10904157 is about 221.7502060111.

The spelling of 10904157 in words is "ten million, nine hundred four thousand, one hundred fifty-seven".