100431356872859 has 2 divisors, whose sum is σ = 100431356872860. Its totient is φ = 100431356872858.

The previous prime is 100431356872837. The next prime is 100431356872871. The reversal of 100431356872859 is 958278653134001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100431356872859 - 2¹² = 100431356868763 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (100431356472859) 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 as a sum of consecutive naturals, namely, 50215678436429 + 50215678436430.

It is an arithmetic number, because the mean of its divisors is an integer number (50215678436430).

It is a 1-persistent number, because it is pandigital, but 2⋅100431356872859 = 200862713745718 is not.

Almost surely, 2^{100431356872859} is an apocalyptic number.

100431356872859 is a deficient number, since it is larger than the sum of its proper divisors (1).

100431356872859 is an equidigital number, since it uses as much as digits as its factorization.

100431356872859 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 100431356872859 in words is "one hundred trillion, four hundred thirty-one billion, three hundred fifty-six million, eight hundred seventy-two thousand, eight hundred fifty-nine".