105117171200581 has 2 divisors, whose sum is σ = 105117171200582. Its totient is φ = 105117171200580.

The previous prime is 105117171200539. The next prime is 105117171200603. The reversal of 105117171200581 is 185002171711501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102360771022500 + 2756400178081 = 10117350^2 + 1660241^2 .

It is a cyclic number.

It is not a de Polignac number, because 105117171200581 - 2¹⁷ = 105117171069509 is a prime.

It is a super-2 number, since 2×105117171200581² (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 (105117171200081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558585600290 + 52558585600291.

It is an arithmetic number, because the mean of its divisors is an integer number (52558585600291).

Almost surely, 2^{105117171200581} is an apocalyptic number.

It is an amenable number.

105117171200581 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117171200581 is an equidigital number, since it uses as much as digits as its factorization.

105117171200581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19600, while the sum is 40.

The spelling of 105117171200581 in words is "one hundred five trillion, one hundred seventeen billion, one hundred seventy-one million, two hundred thousand, five hundred eighty-one".