10165904 has 40 divisors (see below), whose sum is σ = 22706880. Its totient is φ = 4318848.

The previous prime is 10165871. The next prime is 10165913. The reversal of 10165904 is 40956101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15242 + ... + 15894.

It is an arithmetic number, because the mean of its divisors is an integer number (567672).

Almost surely, 2^10165904 is an apocalyptic number.

10165904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10165904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353440).

10165904 is an abundant number, since it is smaller than the sum of its proper divisors (12540976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10165904 is a wasteful number, since it uses less digits than its factorization.

10165904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10165904 is about 3188.4014803660. The cubic root of 10165904 is about 216.6283714041.

The spelling of 10165904 in words is "ten million, one hundred sixty-five thousand, nine hundred four".