105161317 has 2 divisors, whose sum is σ = 105161318. Its totient is φ = 105161316.

The previous prime is 105161299. The next prime is 105161323. The reversal of 105161317 is 713161501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101888836 + 3272481 = 10094^2 + 1809^2 .

It is a cyclic number.

It is not a de Polignac number, because 105161317 - 2¹⁵ = 105128549 is a prime.

It is a super-2 number, since 2×105161317² = 22117805186348978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105161291 and 105161300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105161327) 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 as a sum of consecutive naturals, namely, 52580658 + 52580659.

It is an arithmetic number, because the mean of its divisors is an integer number (52580659).

Almost surely, 2^105161317 is an apocalyptic number.

It is an amenable number.

105161317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105161317 is an equidigital number, since it uses as much as digits as its factorization.

105161317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 105161317 is about 10254.8192085478. The cubic root of 105161317 is about 472.0108757549.

The spelling of 105161317 in words is "one hundred five million, one hundred sixty-one thousand, three hundred seventeen".