105957912 has 16 divisors (see below), whose sum is σ = 264894840. Its totient is φ = 35319296.

The previous prime is 105957911. The next prime is 105957913. The reversal of 105957912 is 219759501.

It is an interprime number because it is at equal distance from previous prime (105957911) and next prime (105957913).

It is a super-2 number, since 2×105957912² = 22454158230799488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105957911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2207433 + ... + 2207480.

Almost surely, 2^105957912 is an apocalyptic number.

105957912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105957912 is an abundant number, since it is smaller than the sum of its proper divisors (158936928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105957912 is a wasteful number, since it uses less digits than its factorization.

105957912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414922 (or 4414918 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 39.

The square root of 105957912 is about 10293.5859640846. The cubic root of 105957912 is about 473.1997035106.

The spelling of 105957912 in words is "one hundred five million, nine hundred fifty-seven thousand, nine hundred twelve".