100034444320 has 24 divisors (see below), whose sum is σ = 236331375084. Its totient is φ = 40013777664.

The previous prime is 100034444311. The next prime is 100034444333. The reversal of 100034444320 is 23444430001.

100034444320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 96430123024 + 3604321296 = 310532^2 + 60036^2 .

It is a super-2 number, since 2×100034444320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312607479 + ... + 312607798.

Almost surely, 2^100034444320 is an apocalyptic number.

100034444320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034444320 is an abundant number, since it is smaller than the sum of its proper divisors (136296930764).

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

100034444320 is an equidigital number, since it uses as much as digits as its factorization.

100034444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625215292 (or 625215284 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 100034444320 its reverse (23444430001), we get a palindrome (123478874321).

The spelling of 100034444320 in words is "one hundred billion, thirty-four million, four hundred forty-four thousand, three hundred twenty".