100653664 has 24 divisors (see below), whose sum is σ = 204996960. Its totient is φ = 48590976.

The previous prime is 100653661. The next prime is 100653667. The reversal of 100653664 is 466356001.

It is an interprime number because it is at equal distance from previous prime (100653661) and next prime (100653667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100653661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53304 + ... + 55159.

It is an arithmetic number, because the mean of its divisors is an integer number (8541540).

Almost surely, 2^100653664 is an apocalyptic number.

It is an amenable number.

100653664 is an abundant number, since it is smaller than the sum of its proper divisors (104343296).

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

100653664 is a wasteful number, since it uses less digits than its factorization.

100653664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108502 (or 108494 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 100653664 is about 10032.6299642716. The cubic root of 100653664 is about 465.1680342340.

The spelling of 100653664 in words is "one hundred million, six hundred fifty-three thousand, six hundred sixty-four".