100700322944 has 128 divisors (see below), whose sum is σ = 218122858800. Its totient is φ = 46032666624.

The previous prime is 100700322859. The next prime is 100700322959. The reversal of 100700322944 is 449223007001.

It can be written as a sum of positive squares in 8 ways, for example, as 15553082944 + 85147240000 = 124712^2 + 291800^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 100700322944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90802262 + ... + 90803370.

Almost surely, 2^100700322944 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 100700322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109061429400).

100700322944 is an abundant number, since it is smaller than the sum of its proper divisors (117422535856).

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

100700322944 is a wasteful number, since it uses less digits than its factorization.

100700322944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 100700322944 its reverse (449223007001), we get a palindrome (549923329945).

The spelling of 100700322944 in words is "one hundred billion, seven hundred million, three hundred twenty-two thousand, nine hundred forty-four".