100780564032 has 84 divisors (see below), whose sum is σ = 292115161260. Its totient is φ = 33216049152.

The previous prime is 100780563997. The next prime is 100780564051. The reversal of 100780564032 is 230465087001.

100780564032 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 8 + 0 + 5 + 640 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16155426816 + 84625137216 = 127104^2 + 290904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931693 + ... + 1034220.

Almost surely, 2^100780564032 is an apocalyptic number.

100780564032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100780564032 is an abundant number, since it is smaller than the sum of its proper divisors (191334597228).

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

100780564032 is a wasteful number, since it uses less digits than its factorization.

100780564032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966020 (or 1966007 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100780564032 in words is "one hundred billion, seven hundred eighty million, five hundred sixty-four thousand, thirty-two".