105108904075817 has 2 divisors, whose sum is σ = 105108904075818. Its totient is φ = 105108904075816.

The previous prime is 105108904075793. The next prime is 105108904075867. The reversal of 105108904075817 is 718570409801501.

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., 97095226323481 + 8013677752336 = 9853691^2 + 2830844^2 .

It is an emirp because it is prime and its reverse (718570409801501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105108904075817 - 2¹⁶ = 105108904010281 is a prime.

It is a super-2 number, since 2×105108904075817² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105108904075867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52554452037908 + 52554452037909.

It is an arithmetic number, because the mean of its divisors is an integer number (52554452037909).

Almost surely, 2^{105108904075817} is an apocalyptic number.

It is an amenable number.

105108904075817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105108904075817 is an equidigital number, since it uses as much as digits as its factorization.

105108904075817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2822400, while the sum is 56.

The spelling of 105108904075817 in words is "one hundred five trillion, one hundred eight billion, nine hundred four million, seventy-five thousand, eight hundred seventeen".