105160257 has 12 divisors (see below), whose sum is σ = 153293140. Its totient is φ = 69463008.

The previous prime is 105160229. The next prime is 105160259. The reversal of 105160257 is 752061501.

105160257 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 602 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24591681 + 80568576 = 4959^2 + 8976^2 .

It is not a de Polignac number, because 105160257 - 2⁷ = 105160129 is a prime.

It is a super-2 number, since 2×105160257² = 22117359304612098, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105160257.

It is not an unprimeable number, because it can be changed into a prime (105160259) 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 11 ways as a sum of consecutive naturals, for example, 52618 + ... + 54579.

Almost surely, 2^105160257 is an apocalyptic number.

It is an amenable number.

105160257 is a deficient number, since it is larger than the sum of its proper divisors (48132883).

105160257 is a wasteful number, since it uses less digits than its factorization.

105160257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107312 (or 107309 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105160257 is about 10254.7675254001. The cubic root of 105160257 is about 472.0092898320.

The spelling of 105160257 in words is "one hundred five million, one hundred sixty thousand, two hundred fifty-seven".