100405516308431 has 2 divisors, whose sum is σ = 100405516308432. Its totient is φ = 100405516308430.

The previous prime is 100405516308389. The next prime is 100405516308497. The reversal of 100405516308431 is 134803615504001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100405516308431 - 2³⁴ = 100388336439247 is a prime.

It is a super-2 number, since 2×100405516308431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100405516308731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50202758154215 + 50202758154216.

It is an arithmetic number, because the mean of its divisors is an integer number (50202758154216).

Almost surely, 2^{100405516308431} is an apocalyptic number.

100405516308431 is a deficient number, since it is larger than the sum of its proper divisors (1).

100405516308431 is an equidigital number, since it uses as much as digits as its factorization.

100405516308431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 100405516308431 in words is "one hundred trillion, four hundred five billion, five hundred sixteen million, three hundred eight thousand, four hundred thirty-one".