100216564900 has 27 divisors (see below), whose sum is σ = 217476815619. Its totient is φ = 40085359680.

The previous prime is 100216564883. The next prime is 100216564907. The reversal of 100216564900 is 9465612001.

The square root of 100216564900 is 316570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2327676516 + 97888888384 = 48246^2 + 312872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100216564907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3149872 + ... + 3181528.

Almost surely, 2^100216564900 is an apocalyptic number.

100216564900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100216564900 is the 316570-th square number.

It is an amenable number.

100216564900 is an abundant number, since it is smaller than the sum of its proper divisors (117260250719).

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

100216564900 is an frugal number, since it uses more digits than its factorization.

100216564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63328 (or 31664 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 100216564900 in words is "one hundred billion, two hundred sixteen million, five hundred sixty-four thousand, nine hundred".