10057164 has 48 divisors (see below), whose sum is σ = 26380032. Its totient is φ = 2958912.

The previous prime is 10057129. The next prime is 10057189. The reversal of 10057164 is 46175001.

It is a super-2 number, since 2×10057164² = 202293095445792, which contains 22 as substring.

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, 2187 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (549584).

Almost surely, 2^10057164 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 10057164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190016).

10057164 is an abundant number, since it is smaller than the sum of its proper divisors (16322868).

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

10057164 is a wasteful number, since it uses less digits than its factorization.

10057164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10057164 is about 3171.3032021552. The cubic root of 10057164 is about 215.8532095939.

The spelling of 10057164 in words is "ten million, fifty-seven thousand, one hundred sixty-four".