105565631 has 8 divisors (see below), whose sum is σ = 112167360. Its totient is φ = 99351264.

The previous prime is 105565613. The next prime is 105565637. The reversal of 105565631 is 136565501.

It is not a de Polignac number, because 105565631 - 2¹⁸ = 105303487 is a prime.

It is a super-2 number, since 2×105565631² = 22288204896856322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105565637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5831 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (14020920).

Almost surely, 2^105565631 is an apocalyptic number.

105565631 is a deficient number, since it is larger than the sum of its proper divisors (6601729).

105565631 is an frugal number, since it uses more digits than its factorization.

105565631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21538 (or 21504 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 105565631 is about 10274.5136624562. The cubic root of 105565631 is about 472.6150159989.

The spelling of 105565631 in words is "one hundred five million, five hundred sixty-five thousand, six hundred thirty-one".