100188984960 has 96 divisors (see below), whose sum is σ = 345965108580. Its totient is φ = 26717061120.

The previous prime is 100188984953. The next prime is 100188984967. The reversal of 100188984960 is 69489881001.

It is an interprime number because it is at equal distance from previous prime (100188984953) and next prime (100188984967).

It can be written as a sum of positive squares in 2 ways, for example, as 92917670976 + 7271313984 = 304824^2 + 85272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 100188984897 and 100188984906.

It is not an unprimeable number, because it can be changed into a prime (100188984967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8691201 + ... + 8702720.

Almost surely, 2^100188984960 is an apocalyptic number.

100188984960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100188984960 is an abundant number, since it is smaller than the sum of its proper divisors (245776123620).

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

100188984960 is a wasteful number, since it uses less digits than its factorization.

100188984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17393946 (or 17393931 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 100188984960 in words is "one hundred billion, one hundred eighty-eight million, nine hundred eighty-four thousand, nine hundred sixty".