100456526520 has 192 divisors, whose sum is σ = 374304265920. Its totient is φ = 22888876032.

The previous prime is 100456526519. The next prime is 100456526617. The reversal of 100456526520 is 25625654001.

100456526520 is a `hidden beast` number, since 10 + 0 + 4 + 565 + 2 + 65 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735964 + ... + 861716.

It is an arithmetic number, because the mean of its divisors is an integer number (1949501385).

Almost surely, 2^100456526520 is an apocalyptic number.

100456526520 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 100456526520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187152132960).

100456526520 is an abundant number, since it is smaller than the sum of its proper divisors (273847739400).

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

100456526520 is a wasteful number, since it uses less digits than its factorization.

100456526520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126094 (or 126087 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 100456526520 in words is "one hundred billion, four hundred fifty-six million, five hundred twenty-six thousand, five hundred twenty".