105017157705199 has 2 divisors, whose sum is σ = 105017157705200. Its totient is φ = 105017157705198.

The previous prime is 105017157705181. The next prime is 105017157705269. The reversal of 105017157705199 is 991507751710501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105017157705199 is a prime.

It is a super-2 number, since 2×105017157705199² (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 (105017157705139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52508578852599 + 52508578852600.

It is an arithmetic number, because the mean of its divisors is an integer number (52508578852600).

Almost surely, 2^{105017157705199} is an apocalyptic number.

105017157705199 is a deficient number, since it is larger than the sum of its proper divisors (1).

105017157705199 is an equidigital number, since it uses as much as digits as its factorization.

105017157705199 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3472875, while the sum is 58.

The spelling of 105017157705199 in words is "one hundred five trillion, seventeen billion, one hundred fifty-seven million, seven hundred five thousand, one hundred ninety-nine".