105518317 has 2 divisors, whose sum is σ = 105518318. Its totient is φ = 105518316.

The previous prime is 105518299. The next prime is 105518321. The reversal of 105518317 is 713815501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54552996 + 50965321 = 7386^2 + 7139^2 .

It is a cyclic number.

It is not a de Polignac number, because 105518317 - 2²³ = 97129709 is a prime.

It is a super-2 number, since 2×105518317² = 22268230445024978, which contains 22 as substring.

It is equal to p_6060757 and since 105518317 and 6060757 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105518377) 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, 52759158 + 52759159.

It is an arithmetic number, because the mean of its divisors is an integer number (52759159).

Almost surely, 2^105518317 is an apocalyptic number.

It is an amenable number.

105518317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105518317 is an equidigital number, since it uses as much as digits as its factorization.

105518317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 31.

The square root of 105518317 is about 10272.2109109967. The cubic root of 105518317 is about 472.5443975340.

The spelling of 105518317 in words is "one hundred five million, five hundred eighteen thousand, three hundred seventeen".