100375053952 has 64 divisors (see below), whose sum is σ = 206559210600. Its totient is φ = 48548450304.

The previous prime is 100375053941. The next prime is 100375053967. The reversal of 100375053952 is 259350573001.

It can be written as a sum of positive squares in 4 ways, for example, as 80669632576 + 19705421376 = 284024^2 + 140376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758074 + ... + 880582.

Almost surely, 2^100375053952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100375053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103279605300).

100375053952 is an abundant number, since it is smaller than the sum of its proper divisors (106184156648).

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

100375053952 is a wasteful number, since it uses less digits than its factorization.

100375053952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122733 (or 122721 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 40.

The spelling of 100375053952 in words is "one hundred billion, three hundred seventy-five million, fifty-three thousand, nine hundred fifty-two".