105565056 has 32 divisors (see below), whose sum is σ = 280408200. Its totient is φ = 35188224.

The previous prime is 105565051. The next prime is 105565091. The reversal of 105565056 is 650565501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105565056² = 22287962096566272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105565051) 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, 137071 + ... + 137838.

Almost surely, 2^105565056 is an apocalyptic number.

105565056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105565056 is an abundant number, since it is smaller than the sum of its proper divisors (174843144).

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

105565056 is an equidigital number, since it uses as much as digits as its factorization.

105565056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274926 (or 274914 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 105565056 is about 10274.4856805584. The cubic root of 105565056 is about 472.6141579099.

The spelling of 105565056 in words is "one hundred five million, five hundred sixty-five thousand, fifty-six".