105631317 has 32 divisors (see below), whose sum is σ = 179712000. Its totient is φ = 60646320.

The previous prime is 105631313. The next prime is 105631333. The reversal of 105631317 is 713136501.

105631317 is a `hidden beast` number, since 10 + 5 + 631 + 3 + 17 = 666.

It is not a de Polignac number, because 105631317 - 2² = 105631313 is a prime.

It is a super-2 number, since 2×105631317² = 22315950262308978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105631313) 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, 3717 + ... + 15002.

It is an arithmetic number, because the mean of its divisors is an integer number (5616000).

Almost surely, 2^105631317 is an apocalyptic number.

It is an amenable number.

105631317 is a deficient number, since it is larger than the sum of its proper divisors (74080683).

105631317 is a wasteful number, since it uses less digits than its factorization.

105631317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18758 (or 18752 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 105631317 is about 10277.7097156906. The cubic root of 105631317 is about 472.7130206020.

Adding to 105631317 its reverse (713136501), we get a palindrome (818767818).

The spelling of 105631317 in words is "one hundred five million, six hundred thirty-one thousand, three hundred seventeen".