105712631 has 2 divisors, whose sum is σ = 105712632. Its totient is φ = 105712630.

The previous prime is 105712597. The next prime is 105712643. The reversal of 105712631 is 136217501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105712631 - 2¹⁰ = 105711607 is a prime.

It is a super-2 number, since 2×105712631² = 22350320705884322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105712631.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105712031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52856315 + 52856316.

It is an arithmetic number, because the mean of its divisors is an integer number (52856316).

Almost surely, 2^105712631 is an apocalyptic number.

105712631 is a deficient number, since it is larger than the sum of its proper divisors (1).

105712631 is an equidigital number, since it uses as much as digits as its factorization.

105712631 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 105712631 is about 10281.6647971036. The cubic root of 105712631 is about 472.8342861785.

The spelling of 105712631 in words is "one hundred five million, seven hundred twelve thousand, six hundred thirty-one".