105791952 has 80 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 28446720.

The previous prime is 105791923. The next prime is 105791957. The reversal of 105791952 is 259197501.

It is a super-2 number, since 2×105791952² = 22383874215940608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105791952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105791957) 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 15 ways as a sum of consecutive naturals, for example, 3549 + ... + 14972.

Almost surely, 2^105791952 is an apocalyptic number.

105791952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105791952 is an abundant number, since it is smaller than the sum of its proper divisors (224936880).

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

105791952 is a wasteful number, since it uses less digits than its factorization.

105791952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556 (or 18550 counting only the distinct ones).

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

The square root of 105791952 is about 10285.5214743833. The cubic root of 105791952 is about 472.9525196423.

The spelling of 105791952 in words is "one hundred five million, seven hundred ninety-one thousand, nine hundred fifty-two".