100053564 has 48 divisors (see below), whose sum is σ = 252054432. Its totient is φ = 30707712.

The previous prime is 100053539. The next prime is 100053589. The reversal of 100053564 is 465350001.

It is an interprime number because it is at equal distance from previous prime (100053539) and next prime (100053589).

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, 104512 + ... + 105464.

It is an arithmetic number, because the mean of its divisors is an integer number (5251134).

Almost surely, 2^100053564 is an apocalyptic number.

It is an amenable number.

100053564 is an abundant number, since it is smaller than the sum of its proper divisors (152000868).

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

100053564 is a wasteful number, since it uses less digits than its factorization.

100053564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 100053564 is about 10002.6778414583. The cubic root of 100053564 is about 464.2417425902.

The spelling of 100053564 in words is "one hundred million, fifty-three thousand, five hundred sixty-four".