105808906633117 has 2 divisors, whose sum is σ = 105808906633118. Its totient is φ = 105808906633116.

The previous prime is 105808906633057. The next prime is 105808906633223. The reversal of 105808906633117 is 711336609808501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102115491458841 + 3693415174276 = 10105221^2 + 1921826^2 .

It is an emirp because it is prime and its reverse (711336609808501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105808906633117 - 2³⁵ = 105774546894749 is a prime.

It is a super-2 number, since 2×105808906633117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105808906633517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52904453316558 + 52904453316559.

It is an arithmetic number, because the mean of its divisors is an integer number (52904453316559).

Almost surely, 2^{105808906633117} is an apocalyptic number.

It is an amenable number.

105808906633117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105808906633117 is an equidigital number, since it uses as much as digits as its factorization.

105808906633117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 105808906633117 in words is "one hundred five trillion, eight hundred eight billion, nine hundred six million, six hundred thirty-three thousand, one hundred seventeen".