100451664 has 50 divisors (see below), whose sum is σ = 290740010. Its totient is φ = 33483456.

The previous prime is 100451639. The next prime is 100451683. The reversal of 100451664 is 466154001.

It can be written as a sum of positive squares in only one way, i.e., 100160064 + 291600 = 10008^2 + 540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37459 + ... + 40050.

Almost surely, 2^100451664 is an apocalyptic number.

It is an amenable number.

100451664 is an abundant number, since it is smaller than the sum of its proper divisors (190288346).

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

100451664 is an equidigital number, since it uses as much as digits as its factorization.

100451664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77529 (or 77514 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100451664 is about 10022.5577573791. The cubic root of 100451664 is about 464.8566467576.

The spelling of 100451664 in words is "one hundred million, four hundred fifty-one thousand, six hundred sixty-four".