100809556992 has 264 divisors, whose sum is σ = 304004064000. Its totient is φ = 33365385216.

The previous prime is 100809556927. The next prime is 100809557027. The reversal of 100809556992 is 299655908001.

100809556992 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 9 + 556 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37074609 + ... + 37077327.

Almost surely, 2^100809556992 is an apocalyptic number.

100809556992 is a gapful number since it is divisible by the number (12) 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 100809556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152002032000).

100809556992 is an abundant number, since it is smaller than the sum of its proper divisors (203194507008).

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

100809556992 is an equidigital number, since it uses as much as digits as its factorization.

100809556992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 100809556992 in words is "one hundred billion, eight hundred nine million, five hundred fifty-six thousand, nine hundred ninety-two".