105365717 has 2 divisors, whose sum is σ = 105365718. Its totient is φ = 105365716.

The previous prime is 105365669. The next prime is 105365719. The reversal of 105365717 is 717563501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89889361 + 15476356 = 9481^2 + 3934^2 .

It is a cyclic number.

It is not a de Polignac number, because 105365717 - 2⁶ = 105365653 is a prime.

It is a super-2 number, since 2×105365717² = 22203868637848178, which contains 22 as substring.

Together with 105365719, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105365719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52682858 + 52682859.

It is an arithmetic number, because the mean of its divisors is an integer number (52682859).

Almost surely, 2^105365717 is an apocalyptic number.

It is an amenable number.

105365717 is a deficient number, since it is larger than the sum of its proper divisors (1).

105365717 is an equidigital number, since it uses as much as digits as its factorization.

105365717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 105365717 is about 10264.7804165506. The cubic root of 105365717 is about 472.3164906109.

The spelling of 105365717 in words is "one hundred five million, three hundred sixty-five thousand, seven hundred seventeen".