100774712160 has 144 divisors (see below), whose sum is σ = 343992894336. Its totient is φ = 26865506304.

The previous prime is 100774712141. The next prime is 100774712173. The reversal of 100774712160 is 61217477001.

100774712160 is a `hidden beast` number, since 100 + 7 + 7 + 471 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100774712160² (a number of 23 digits) contains 22 as substring.

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 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, 6395812 + ... + 6411548.

It is an arithmetic number, because the mean of its divisors is an integer number (2388839544).

Almost surely, 2^100774712160 is an apocalyptic number.

100774712160 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 100774712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171996447168).

100774712160 is an abundant number, since it is smaller than the sum of its proper divisors (243218182176).

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

100774712160 is a wasteful number, since it uses less digits than its factorization.

100774712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20205 (or 20194 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 100774712160 in words is "one hundred billion, seven hundred seventy-four million, seven hundred twelve thousand, one hundred sixty".