10057311 has 16 divisors (see below), whose sum is σ = 16254720. Its totient is φ = 6095160.

The previous prime is 10057309. The next prime is 10057337. The reversal of 10057311 is 11375001.

It is a happy number.

It is not a de Polignac number, because 10057311 - 2¹ = 10057309 is a prime.

It is a super-2 number, since 2×10057311² = 202299009101442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16635 + ... + 17228.

It is an arithmetic number, because the mean of its divisors is an integer number (1015920).

Almost surely, 2^10057311 is an apocalyptic number.

10057311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10057311 is a deficient number, since it is larger than the sum of its proper divisors (6197409).

10057311 is a wasteful number, since it uses less digits than its factorization.

10057311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33883 (or 33877 counting only the distinct ones).

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

The square root of 10057311 is about 3171.3263786624. The cubic root of 10057311 is about 215.8542612577.

The spelling of 10057311 in words is "ten million, fifty-seven thousand, three hundred eleven".