105957 has 12 divisors (see below), whose sum is σ = 156364. Its totient is φ = 69120.

The previous prime is 105953. The next prime is 105967. The reversal of 105957 is 759501.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 93636 = 111^2 + 306^2 .

It is not a de Polignac number, because 105957 - 2² = 105953 is a prime.

It is a super-2 number, since 2×105957² = 22453771698, 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 105957.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105957.

It is not an unprimeable number, because it can be changed into a prime (105953) 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, 453 + ... + 645.

2¹⁰⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

105957 is a deficient number, since it is larger than the sum of its proper divisors (50407).

105957 is a wasteful number, since it uses less digits than its factorization.

105957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 105957 is about 325.5103684985. The cubic root of 105957 is about 47.3198345867.

The spelling of 105957 in words is "one hundred five thousand, nine hundred fifty-seven".