10057138304 has 16 divisors (see below), whose sum is σ = 20035705470. Its totient is φ = 5028569088.

The previous prime is 10057138297. The next prime is 10057138339. The reversal of 10057138304 is 40383175001.

It can be written as a sum of positive squares in only one way, i.e., 9347022400 + 710115904 = 96680^2 + 26648^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×10057138304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39285569 + ... + 39285824.

Almost surely, 2^10057138304 is an apocalyptic number.

It is an amenable number.

10057138304 is a deficient number, since it is larger than the sum of its proper divisors (9978567166).

10057138304 is an frugal number, since it uses more digits than its factorization.

10057138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78571407 (or 78571395 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 10057138304 in words is "ten billion, fifty-seven million, one hundred thirty-eight thousand, three hundred four".