10057113 has 48 divisors (see below), whose sum is σ = 17072640. Its totient is φ = 5644800.

The previous prime is 10057111. The next prime is 10057123. The reversal of 10057113 is 31175001.

It is a happy number.

It is not a de Polignac number, because 10057113 - 2¹ = 10057111 is a prime.

It is a super-2 number, since 2×10057113² = 202291043789538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10057111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88945 + ... + 89057.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 2^10057113 is an apocalyptic number.

It is an amenable number.

10057113 is a deficient number, since it is larger than the sum of its proper divisors (7015527).

10057113 is a wasteful number, since it uses less digits than its factorization.

10057113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 10057113 is about 3171.2951612866. The cubic root of 10057113 is about 215.8528447285.

It can be divided in two parts, 1005 and 7113, that added together give a palindrome (8118).

The spelling of 10057113 in words is "ten million, fifty-seven thousand, one hundred thirteen".