105317 has 8 divisors (see below), whose sum is σ = 116160. Its totient is φ = 95040.

The previous prime is 105277. The next prime is 105319. The reversal of 105317 is 713501.

105317 is nontrivially palindromic in base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105317 - 2⁶ = 105253 is a prime.

It is a super-2 number, since 2×105317² = 22183340978, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105295 and 105304.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105317.

It is not an unprimeable number, because it can be changed into a prime (105319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (14520).

2¹⁰⁵³¹⁷ is an apocalyptic number.

It is an amenable number.

105317 is a deficient number, since it is larger than the sum of its proper divisors (10843).

105317 is a wasteful number, since it uses less digits than its factorization.

105317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 105317 is about 324.5258079106. The cubic root of 105317 is about 47.2243685812.

Adding to 105317 its reverse (713501), we get a palindrome (818818).

The spelling of 105317 in words is "one hundred five thousand, three hundred seventeen".