105122937858017 has 2 divisors, whose sum is σ = 105122937858018. Its totient is φ = 105122937858016.

The previous prime is 105122937857947. The next prime is 105122937858049. The reversal of 105122937858017 is 710858739221501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103188234901921 + 1934702956096 = 10158161^2 + 1390936^2 .

It is a cyclic number.

It is not a de Polignac number, because 105122937858017 - 2⁸ = 105122937857761 is a prime.

It is a super-2 number, since 2×105122937858017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135122937858017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561468929008 + 52561468929009.

It is an arithmetic number, because the mean of its divisors is an integer number (52561468929009).

Almost surely, 2^{105122937858017} is an apocalyptic number.

It is an amenable number.

105122937858017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122937858017 is an equidigital number, since it uses as much as digits as its factorization.

105122937858017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8467200, while the sum is 59.

The spelling of 105122937858017 in words is "one hundred five trillion, one hundred twenty-two billion, nine hundred thirty-seven million, eight hundred fifty-eight thousand, seventeen".