105775952 has 20 divisors (see below), whose sum is σ = 208302516. Its totient is φ = 52020480.

The previous prime is 105775951. The next prime is 105775961. The reversal of 105775952 is 259577501.

It can be written as a sum of positive squares in 2 ways, for example, as 2062096 + 103713856 = 1436^2 + 10184^2 .

It is a super-2 number, since 2×105775952² = 22377104043012608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105775951) 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, 53213 + ... + 55164.

Almost surely, 2^105775952 is an apocalyptic number.

It is an amenable number.

105775952 is a deficient number, since it is larger than the sum of its proper divisors (102526564).

105775952 is a wasteful number, since it uses less digits than its factorization.

105775952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108446 (or 108440 counting only the distinct ones).

The product of its (nonzero) digits is 110250, while the sum is 41.

The square root of 105775952 is about 10284.7436526148. The cubic root of 105775952 is about 472.9286752896.

The spelling of 105775952 in words is "one hundred five million, seven hundred seventy-five thousand, nine hundred fifty-two".