100566385920 has 3456 divisors, whose sum is σ = 539977052160. Its totient is φ = 17199267840.

The previous prime is 100566385867. The next prime is 100566385951. The reversal of 100566385920 is 29583665001.

100566385920 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 638 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×100566385920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5292967671 + ... + 5292967689.

It is an arithmetic number, because the mean of its divisors is an integer number (156243360).

Almost surely, 2^100566385920 is an apocalyptic number.

100566385920 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 100566385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269988526080).

100566385920 is an abundant number, since it is smaller than the sum of its proper divisors (439410666240).

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

100566385920 is a wasteful number, since it uses less digits than its factorization.

100566385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 100566385920 in words is "one hundred billion, five hundred sixty-six million, three hundred eighty-five thousand, nine hundred twenty".