105161717 has 2 divisors, whose sum is σ = 105161718. Its totient is φ = 105161716.

The previous prime is 105161689. The next prime is 105161723. The reversal of 105161717 is 717161501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105042001 + 119716 = 10249^2 + 346^2 .

It is a cyclic number.

It is not a de Polignac number, because 105161717 - 2¹⁶ = 105096181 is a prime.

It is a super-2 number, since 2×105161717² = 22117973444776178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105161717.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105161317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52580858 + 52580859.

It is an arithmetic number, because the mean of its divisors is an integer number (52580859).

Almost surely, 2^105161717 is an apocalyptic number.

It is an amenable number.

105161717 is a deficient number, since it is larger than the sum of its proper divisors (1).

105161717 is an equidigital number, since it uses as much as digits as its factorization.

105161717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 29.

The square root of 105161717 is about 10254.8387115547. The cubic root of 105161717 is about 472.0114742135.

The spelling of 105161717 in words is "one hundred five million, one hundred sixty-one thousand, seven hundred seventeen".