105957100 has 18 divisors (see below), whose sum is σ = 229927124. Its totient is φ = 42382800.

The previous prime is 105957043. The next prime is 105957127. The reversal of 105957100 is 1759501.

It is a super-2 number, since 2×105957100² = 22453814080820000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 529686 + ... + 529885.

Almost surely, 2^105957100 is an apocalyptic number.

105957100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105957100 is an abundant number, since it is smaller than the sum of its proper divisors (123970024).

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

105957100 is a wasteful number, since it uses less digits than its factorization.

105957100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059585 (or 1059578 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 28.

The square root of 105957100 is about 10293.5465219719. The cubic root of 105957100 is about 473.1984947315.

The spelling of 105957100 in words is "one hundred five million, nine hundred fifty-seven thousand, one hundred".