13105257 has 32 divisors (see below), whose sum is σ = 19906560. Its totient is φ = 7600320.

The previous prime is 13105247. The next prime is 13105259. The reversal of 13105257 is 75250131.

It is not a de Polignac number, because 13105257 - 2¹⁶ = 13039721 is a prime.

It is a super-2 number, since 2×13105257² = 343495522072098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13105259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103128 + ... + 103254.

It is an arithmetic number, because the mean of its divisors is an integer number (622080).

Almost surely, 2^13105257 is an apocalyptic number.

It is an amenable number.

13105257 is a deficient number, since it is larger than the sum of its proper divisors (6801303).

13105257 is a wasteful number, since it uses less digits than its factorization.

13105257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 13105257 is about 3620.1183682305. The cubic root of 13105257 is about 235.7663648275.

Adding to 13105257 its reverse (75250131), we get a palindrome (88355388).

The spelling of 13105257 in words is "thirteen million, one hundred five thousand, two hundred fifty-seven".