105316317 has 12 divisors (see below), whose sum is σ = 154618204. Its totient is φ = 69059520.

The previous prime is 105316307. The next prime is 105316349. The reversal of 105316317 is 713613501.

It can be written as a sum of positive squares in 2 ways, for example, as 39803481 + 65512836 = 6309^2 + 8094^2 .

It is not a de Polignac number, because 105316317 - 2⁸ = 105316061 is a prime.

It is a super-2 number, since 2×105316317² = 22183053252888978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105316307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95368 + ... + 96465.

Almost surely, 2^105316317 is an apocalyptic number.

It is an amenable number.

105316317 is a deficient number, since it is larger than the sum of its proper divisors (49301887).

105316317 is a wasteful number, since it uses less digits than its factorization.

105316317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191900 (or 191897 counting only the distinct ones).

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

The square root of 105316317 is about 10262.3738481893. The cubic root of 105316317 is about 472.2426649471.

Adding to 105316317 its reverse (713613501), we get a palindrome (818929818).

The spelling of 105316317 in words is "one hundred five million, three hundred sixteen thousand, three hundred seventeen".