105608664 has 64 divisors (see below), whose sum is σ = 335270400. Its totient is φ = 30173472.

The previous prime is 105608651. The next prime is 105608677. The reversal of 105608664 is 466806501.

105608664 is a `hidden beast` number, since 10 + 560 + 86 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (105608651) and next prime (105608677).

It is a super-2 number, since 2×105608664² = 22306379823729792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33412 + ... + 36435.

It is an arithmetic number, because the mean of its divisors is an integer number (5238600).

Almost surely, 2^105608664 is an apocalyptic number.

105608664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105608664 is an abundant number, since it is smaller than the sum of its proper divisors (229661736).

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

105608664 is a wasteful number, since it uses less digits than its factorization.

105608664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69869 (or 69859 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 105608664 is about 10276.6076114640. The cubic root of 105608664 is about 472.6792265406.

The spelling of 105608664 in words is "one hundred five million, six hundred eight thousand, six hundred sixty-four".