105817 has 2 divisors, whose sum is σ = 105818. Its totient is φ = 105816.

The previous prime is 105769. The next prime is 105829. The reversal of 105817 is 718501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 841 = 324^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 105817 - 2¹¹ = 103769 is a prime.

It is a super-2 number, since 2×105817² = 22394474978, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52908 + 52909.

It is an arithmetic number, because the mean of its divisors is an integer number (52909).

2¹⁰⁵⁸¹⁷ is an apocalyptic number.

It is an amenable number.

105817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105817 is an equidigital number, since it uses as much as digits as its factorization.

105817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 105817 is about 325.2952505033. The cubic root of 105817 is about 47.2989843149.

The spelling of 105817 in words is "one hundred five thousand, eight hundred seventeen".