100513930608 has 480 divisors, whose sum is σ = 363612727296. Its totient is φ = 25192138752.

The previous prime is 100513930579. The next prime is 100513930639. The reversal of 100513930608 is 806039315001.

It is a happy number.

100513930608 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 13 + 9 + 30 + 608 = 666.

100513930608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 50331466 + ... + 50333462.

Almost surely, 2^100513930608 is an apocalyptic number.

100513930608 is a gapful number since it is divisible by the number (18) 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 100513930608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181806363648).

100513930608 is an abundant number, since it is smaller than the sum of its proper divisors (263098796688).

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

100513930608 is a wasteful number, since it uses less digits than its factorization.

100513930608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 100513930608 in words is "one hundred billion, five hundred thirteen million, nine hundred thirty thousand, six hundred eight".