100820518992 has 80 divisors (see below), whose sum is σ = 289430215360. Its totient is φ = 33602428800.

The previous prime is 100820518969. The next prime is 100820519029. The reversal of 100820518992 is 299815028001.

100820518992 is a `hidden beast` number, since 100 + 8 + 20 + 518 + 9 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6135267 + ... + 6151677.

It is an arithmetic number, because the mean of its divisors is an integer number (3617877692).

Almost surely, 2^100820518992 is an apocalyptic number.

100820518992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100820518992 is an abundant number, since it is smaller than the sum of its proper divisors (188609696368).

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

100820518992 is a wasteful number, since it uses less digits than its factorization.

100820518992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30649 (or 30637 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 100820518992 in words is "one hundred billion, eight hundred twenty million, five hundred eighteen thousand, nine hundred ninety-two".