10057008 has 80 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 3037440.

The previous prime is 10056973. The next prime is 10057031. The reversal of 10057008 is 80075001.

It is a happy number.

It is a super-2 number, since 2×10057008² = 202286819824128, which contains 22 as substring.

It is a nialpdrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 44191 + ... + 44417.

Almost surely, 2^10057008 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 10057008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

10057008 is an abundant number, since it is smaller than the sum of its proper divisors (18441168).

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

10057008 is a wasteful number, since it uses less digits than its factorization.

10057008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 10057008 is about 3171.2786064930. The cubic root of 10057008 is about 215.8520935312.

The spelling of 10057008 in words is "ten million, fifty-seven thousand, eight".