105565664 has 24 divisors (see below), whose sum is σ = 214538688. Its totient is φ = 51079680.

The previous prime is 105565661. The next prime is 105565667. The reversal of 105565664 is 466565501.

It is an interprime number because it is at equal distance from previous prime (105565661) and next prime (105565667).

It is a super-2 number, since 2×105565664² = 22288218831521792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105565661) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 52217 + ... + 54200.

It is an arithmetic number, because the mean of its divisors is an integer number (8939112).

Almost surely, 2^105565664 is an apocalyptic number.

It is an amenable number.

105565664 is an abundant number, since it is smaller than the sum of its proper divisors (108973024).

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

105565664 is a wasteful number, since it uses less digits than its factorization.

105565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106458 (or 106450 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 105565664 is about 10274.5152683715. The cubic root of 105565664 is about 472.6150652457.

The spelling of 105565664 in words is "one hundred five million, five hundred sixty-five thousand, six hundred sixty-four".