100521206656 has 96 divisors (see below), whose sum is σ = 227610847800. Its totient is φ = 43952329728.

The previous prime is 100521206651. The next prime is 100521206671. The reversal of 100521206656 is 656602125001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100521206651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517035 + ... + 684373.

Almost surely, 2^100521206656 is an apocalyptic number.

100521206656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100521206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113805423900).

100521206656 is an abundant number, since it is smaller than the sum of its proper divisors (127089641144).

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

100521206656 is a wasteful number, since it uses less digits than its factorization.

100521206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167404 (or 167373 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 100521206656 in words is "one hundred billion, five hundred twenty-one million, two hundred six thousand, six hundred fifty-six".