105653664 has 36 divisors (see below), whose sum is σ = 300453426. Its totient is φ = 35217792.

The previous prime is 105653663. The next prime is 105653671. The reversal of 105653664 is 466356501.

105653664 is a `hidden beast` number, since 1 + 0 + 565 + 36 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 5253264 = 10020^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105653664² = 22325393433249792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (105653663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183139 + ... + 183714.

Almost surely, 2^105653664 is an apocalyptic number.

It is an amenable number.

105653664 is an abundant number, since it is smaller than the sum of its proper divisors (194799762).

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

105653664 is a wasteful number, since it uses less digits than its factorization.

105653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366869 (or 366858 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 105653664 is about 10278.7968167485. The cubic root of 105653664 is about 472.7463534346.

The spelling of 105653664 in words is "one hundred five million, six hundred fifty-three thousand, six hundred sixty-four".