105096957 has 16 divisors (see below), whose sum is σ = 165671040. Its totient is φ = 57984192.

The previous prime is 105096919. The next prime is 105096989. The reversal of 105096957 is 759690501.

It is not a de Polignac number, because 105096957 - 2¹⁵ = 105064189 is a prime.

It is a super-2 number, since 2×105096957² = 22090740741319698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105096917) 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, 85678 + ... + 86895.

It is an arithmetic number, because the mean of its divisors is an integer number (10354440).

Almost surely, 2^105096957 is an apocalyptic number.

It is an amenable number.

105096957 is a deficient number, since it is larger than the sum of its proper divisors (60574083).

105096957 is a wasteful number, since it uses less digits than its factorization.

105096957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172612.

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 105096957 is about 10251.6806914769. The cubic root of 105096957 is about 471.9145639795.

The spelling of 105096957 in words is "one hundred five million, ninety-six thousand, nine hundred fifty-seven".