105172631 has 2 divisors, whose sum is σ = 105172632. Its totient is φ = 105172630.

The previous prime is 105172607. The next prime is 105172649. The reversal of 105172631 is 136271501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105172631 - 2⁶ = 105172567 is a prime.

It is a super-2 number, since 2×105172631² = 22122564622924322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105172631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105172231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52586315 + 52586316.

It is an arithmetic number, because the mean of its divisors is an integer number (52586316).

Almost surely, 2^105172631 is an apocalyptic number.

105172631 is a deficient number, since it is larger than the sum of its proper divisors (1).

105172631 is an equidigital number, since it uses as much as digits as its factorization.

105172631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 105172631 is about 10255.3708367860. The cubic root of 105172631 is about 472.0278025732.

The spelling of 105172631 in words is "one hundred five million, one hundred seventy-two thousand, six hundred thirty-one".