105565952 has 36 divisors (see below), whose sum is σ = 219893520. Its totient is φ = 50485248.

The previous prime is 105565951. The next prime is 105565961. The reversal of 105565952 is 259565501.

It is a super-2 number, since 2×105565952² = 22288340443332608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105565951) 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 3 ways as a sum of consecutive naturals, for example, 3077 + ... + 14852.

Almost surely, 2^105565952 is an apocalyptic number.

It is an amenable number.

105565952 is an abundant number, since it is smaller than the sum of its proper divisors (114327568).

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

105565952 is an equidigital number, since it uses as much as digits as its factorization.

105565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17968 (or 17954 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 38.

The square root of 105565952 is about 10274.5292836217. The cubic root of 105565952 is about 472.6154950351.

The spelling of 105565952 in words is "one hundred five million, five hundred sixty-five thousand, nine hundred fifty-two".