431373104100 has 81 divisors (see below), whose sum is σ = 1352176792603. Its totient is φ = 115027573440.

The previous prime is 431373104083. The next prime is 431373104131. The reversal of 431373104100 is 1401373134.

The square root of 431373104100 is 656790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6602862564 + 424770241536 = 81258^2 + 651744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19692754 + ... + 19714646.

Almost surely, 2^431373104100 is an apocalyptic number.

431373104100 is the 656790-th square number.

It is an amenable number.

431373104100 is an abundant number, since it is smaller than the sum of its proper divisors (920803688503).

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

431373104100 is an equidigital number, since it uses as much as digits as its factorization.

431373104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43806 (or 21903 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 431373104100 its reverse (1401373134), we get a palindrome (432774477234).

The spelling of 431373104100 in words is "four hundred thirty-one billion, three hundred seventy-three million, one hundred four thousand, one hundred".