10172904 has 64 divisors (see below), whose sum is σ = 30604800. Its totient is φ = 2752704.

The previous prime is 10172843. The next prime is 10172917. The reversal of 10172904 is 40927101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 1599 + ... + 4785.

It is an arithmetic number, because the mean of its divisors is an integer number (478200).

Almost surely, 2^10172904 is an apocalyptic number.

10172904 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 10172904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302400).

10172904 is an abundant number, since it is smaller than the sum of its proper divisors (20431896).

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

10172904 is a wasteful number, since it uses less digits than its factorization.

10172904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10172904 is about 3189.4990202225. The cubic root of 10172904 is about 216.6780817129.

The spelling of 10172904 in words is "ten million, one hundred seventy-two thousand, nine hundred four".