105065717 has 2 divisors, whose sum is σ = 105065718. Its totient is φ = 105065716.

The previous prime is 105065699. The next prime is 105065743. The reversal of 105065717 is 717560501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105042001 + 23716 = 10249^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 105065717 - 2¹⁴ = 105049333 is a prime.

It is a super-2 number, since 2×105065717² = 22077609777448178, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105065617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52532858 + 52532859.

It is an arithmetic number, because the mean of its divisors is an integer number (52532859).

Almost surely, 2^105065717 is an apocalyptic number.

It is an amenable number.

105065717 is a deficient number, since it is larger than the sum of its proper divisors (1).

105065717 is an equidigital number, since it uses as much as digits as its factorization.

105065717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 105065717 is about 10250.1569256280. The cubic root of 105065717 is about 471.8678005831.

The spelling of 105065717 in words is "one hundred five million, sixty-five thousand, seven hundred seventeen".