10157004 has 72 divisors (see below), whose sum is σ = 30178512. Its totient is φ = 2839680.

The previous prime is 10156957. The next prime is 10157023. The reversal of 10157004 is 40075101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4162 + ... + 6134.

It is an arithmetic number, because the mean of its divisors is an integer number (419146).

Almost surely, 2^10157004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10157004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089256).

10157004 is an abundant number, since it is smaller than the sum of its proper divisors (20021508).

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

10157004 is a wasteful number, since it uses less digits than its factorization.

10157004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10157004 is about 3187.0054910527. The cubic root of 10157004 is about 216.5651353352.

The spelling of 10157004 in words is "ten million, one hundred fifty-seven thousand, four".