100521970704 has 75 divisors (see below), whose sum is σ = 290972785807. Its totient is φ = 33503518944.

The previous prime is 100521970691. The next prime is 100521970739. The reversal of 100521970704 is 407079125001.

It is a happy number.

The square root of 100521970704 is 317052.

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

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

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 11409469 + ... + 11418275.

Almost surely, 2^100521970704 is an apocalyptic number.

100521970704 is the 317052-nd square number.

It is an amenable number.

100521970704 is an abundant number, since it is smaller than the sum of its proper divisors (190450815103).

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

100521970704 is an frugal number, since it uses more digits than its factorization.

100521970704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17634 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 100521970704 by its sum of digits (36), we get a square (3618790945344 = 1902312²).

100521970704 divided by its sum of digits (36) gives a square (2792276964 = 52842²).

It can be divided in two parts, 100521 and 970704, that added together give a square (1071225 = 1035²).

The spelling of 100521970704 in words is "one hundred billion, five hundred twenty-one million, nine hundred seventy thousand, seven hundred four".