10057180 has 24 divisors (see below), whose sum is σ = 24137568. Its totient is φ = 3448128.

The previous prime is 10057129. The next prime is 10057189. The reversal of 10057180 is 8175001.

10057180 = 256² + 257² + ... + 360².

It is a super-2 number, since 2×10057180² = 202293739104800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35779 + ... + 36058.

It is an arithmetic number, because the mean of its divisors is an integer number (1005732).

Almost surely, 2^10057180 is an apocalyptic number.

10057180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10057180 is an abundant number, since it is smaller than the sum of its proper divisors (14080388).

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

10057180 is a wasteful number, since it uses less digits than its factorization.

10057180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71853 (or 71851 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 10057180 is about 3171.3057247765. The cubic root of 10057180 is about 215.8533240612.

The spelling of 10057180 in words is "ten million, fifty-seven thousand, one hundred eighty".