100431356872847 has 24 divisors (see below), whose sum is σ = 135585804792960. Its totient is φ = 72238338600480.

The previous prime is 100431356872837. The next prime is 100431356872859. The reversal of 100431356872847 is 748278653134001.

It is not a de Polignac number, because 100431356872847 - 2¹⁰ = 100431356871823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431356872837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3858872597 + ... + 3858898622.

It is an arithmetic number, because the mean of its divisors is an integer number (5649408533040).

Almost surely, 2^{100431356872847} is an apocalyptic number.

100431356872847 is a deficient number, since it is larger than the sum of its proper divisors (35154447920113).

100431356872847 is a wasteful number, since it uses less digits than its factorization.

100431356872847 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717771263 (or 7717771250 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 59.

The spelling of 100431356872847 in words is "one hundred trillion, four hundred thirty-one billion, three hundred fifty-six million, eight hundred seventy-two thousand, eight hundred forty-seven".