100882744960 has 64 divisors (see below), whose sum is σ = 241252878600. Its totient is φ = 40339701760.

The previous prime is 100882744957. The next prime is 100882744961. The reversal of 100882744960 is 69447288001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59041224256 + 41841520704 = 242984^2 + 204552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (100882744961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2029200 + ... + 2078320.

Almost surely, 2^100882744960 is an apocalyptic number.

100882744960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100882744960 is an abundant number, since it is smaller than the sum of its proper divisors (140370133640).

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

100882744960 is an equidigital number, since it uses as much as digits as its factorization.

100882744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52349 (or 52337 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 100882744960 in words is "one hundred billion, eight hundred eighty-two million, seven hundred forty-four thousand, nine hundred sixty".