100625990656 has 99 divisors (see below), whose sum is σ = 210768800263. Its totient is φ = 48013813760.

The previous prime is 100625990651. The next prime is 100625990681. The reversal of 100625990656 is 656099526001.

The square root of 100625990656 is 317216.

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

It is not an unprimeable number, because it can be changed into a prime (100625990651) 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, 233470761 + ... + 233471191.

Almost surely, 2^100625990656 is an apocalyptic number.

100625990656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100625990656 is the 317216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100625990656

100625990656 is an abundant number, since it is smaller than the sum of its proper divisors (110142809607).

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

100625990656 is an frugal number, since it uses more digits than its factorization.

100625990656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

Multiplying 100625990656 by its sum of digits (49), we get a square (4930673542144 = 2220512²).

The spelling of 100625990656 in words is "one hundred billion, six hundred twenty-five million, nine hundred ninety thousand, six hundred fifty-six".