100431356872837 has 2 divisors, whose sum is σ = 100431356872838. Its totient is φ = 100431356872836.

The previous prime is 100431356872801. The next prime is 100431356872859. The reversal of 100431356872837 is 738278653134001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75584262354241 + 24847094518596 = 8693921^2 + 4984686^2 .

It is a cyclic number.

It is not a de Polignac number, because 100431356872837 - 2⁷ = 100431356872709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100431356872037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50215678436418 + 50215678436419.

It is an arithmetic number, because the mean of its divisors is an integer number (50215678436419).

Almost surely, 2^{100431356872837} is an apocalyptic number.

It is an amenable number.

100431356872837 is a deficient number, since it is larger than the sum of its proper divisors (1).

100431356872837 is an equidigital number, since it uses as much as digits as its factorization.

100431356872837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 100431356872837 in words is "one hundred trillion, four hundred thirty-one billion, three hundred fifty-six million, eight hundred seventy-two thousand, eight hundred thirty-seven".