100656325440 has 672 divisors, whose sum is σ = 412875740160. Its totient is φ = 22221619200.

The previous prime is 100656325397. The next prime is 100656325453. The reversal of 100656325440 is 44523656001.

100656325440 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 563 + 2 + 54 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100656325395 and 100656325404.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16692346 + ... + 16698374.

Almost surely, 2^100656325440 is an apocalyptic number.

100656325440 is a gapful number since it is divisible by the number (10) 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 100656325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206437870080).

100656325440 is an abundant number, since it is smaller than the sum of its proper divisors (312219414720).

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

100656325440 is a wasteful number, since it uses less digits than its factorization.

100656325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 100656325440 in words is "one hundred billion, six hundred fifty-six million, three hundred twenty-five thousand, four hundred forty".