105717 has 8 divisors (see below), whose sum is σ = 142560. Its totient is φ = 69680.

The previous prime is 105701. The next prime is 105727. The reversal of 105717 is 717501.

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 105717 - 2⁴ = 105701 is a prime.

It is a super-2 number, since 2×105717² = 22352168178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105693 and 105702.

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 105717.

It is not an unprimeable number, because it can be changed into a prime (105727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2¹⁰⁵⁷¹⁷ is an apocalyptic number.

It is an amenable number.

105717 is a deficient number, since it is larger than the sum of its proper divisors (36843).

105717 is a wasteful number, since it uses less digits than its factorization.

105717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 105717 is about 325.1415076547. The cubic root of 105717 is about 47.2840800015.

The spelling of 105717 in words is "one hundred five thousand, seven hundred seventeen".