102431436572431 has 32 divisors (see below), whose sum is σ = 106036852204800. Its totient is φ = 98885255884800.

The previous prime is 102431436572371. The next prime is 102431436572441. The reversal of 102431436572431 is 134275634134201.

It is not a de Polignac number, because 102431436572431 - 2⁷ = 102431436572303 is a prime.

It is a super-2 number, since 2×102431436572431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102431436572441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6235545240 + ... + 6235561666.

It is an arithmetic number, because the mean of its divisors is an integer number (3313651631400).

Almost surely, 2^{102431436572431} is an apocalyptic number.

102431436572431 is a deficient number, since it is larger than the sum of its proper divisors (3605415632369).

102431436572431 is a wasteful number, since it uses less digits than its factorization.

102431436572431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18999.

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 102431436572431 in words is "one hundred two trillion, four hundred thirty-one billion, four hundred thirty-six million, five hundred seventy-two thousand, four hundred thirty-one".