10113257 has 24 divisors (see below), whose sum is σ = 13296960. Its totient is φ = 7596960.

The previous prime is 10113253. The next prime is 10113269. The reversal of 10113257 is 75231101.

It is not a de Polignac number, because 10113257 - 2² = 10113253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15308 + ... + 15954.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 2^10113257 is an apocalyptic number.

It is an amenable number.

10113257 is a deficient number, since it is larger than the sum of its proper divisors (3183703).

10113257 is a wasteful number, since it uses less digits than its factorization.

10113257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 10113257 is about 3180.1347455729. The cubic root of 10113257 is about 216.2537669608.

Adding to 10113257 its reverse (75231101), we get a palindrome (85344358).

The spelling of 10113257 in words is "ten million, one hundred thirteen thousand, two hundred fifty-seven".