104435431113200 has 120 divisors (see below), whose sum is σ = 276373206685056. Its totient is φ = 37607816160000.

The previous prime is 104435431113107. The next prime is 104435431113239. The reversal of 104435431113200 is 2311134534401.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114766826 + ... + 115673225.

Almost surely, 2^{104435431113200} is an apocalyptic number.

104435431113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104435431113200 is an abundant number, since it is smaller than the sum of its proper divisors (171937775571856).

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

104435431113200 is a wasteful number, since it uses less digits than its factorization.

104435431113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230440183 (or 230440172 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 104435431113200 its reverse (2311134534401), we get a palindrome (106746565647601).

The spelling of 104435431113200 in words is "one hundred four trillion, four hundred thirty-five billion, four hundred thirty-one million, one hundred thirteen thousand, two hundred".