105386917 has 2 divisors, whose sum is σ = 105386918. Its totient is φ = 105386916.

The previous prime is 105386909. The next prime is 105386951. The reversal of 105386917 is 719683501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95140516 + 10246401 = 9754^2 + 3201^2 .

It is a cyclic number.

It is not a de Polignac number, because 105386917 - 2³ = 105386909 is a prime.

It is a super-2 number, since 2×105386917² = 22212804549529778, 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 105386917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105386987) 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, 52693458 + 52693459.

It is an arithmetic number, because the mean of its divisors is an integer number (52693459).

Almost surely, 2^105386917 is an apocalyptic number.

It is an amenable number.

105386917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105386917 is an equidigital number, since it uses as much as digits as its factorization.

105386917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 105386917 is about 10265.8130218702. The cubic root of 105386917 is about 472.3481658035.

The spelling of 105386917 in words is "one hundred five million, three hundred eighty-six thousand, nine hundred seventeen".