105722793693089 has 2 divisors, whose sum is σ = 105722793693090. Its totient is φ = 105722793693088.

The previous prime is 105722793693019. The next prime is 105722793693191. The reversal of 105722793693089 is 980396397227501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55495169442064 + 50227624251025 = 7449508^2 + 7087145^2 .

It is a cyclic number.

It is not a de Polignac number, because 105722793693089 - 2²⁸ = 105722525257633 is a prime.

It is a super-2 number, since 2×105722793693089² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105722793693019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52861396846544 + 52861396846545.

It is an arithmetic number, because the mean of its divisors is an integer number (52861396846545).

Almost surely, 2^{105722793693089} is an apocalyptic number.

It is an amenable number.

105722793693089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105722793693089 is an equidigital number, since it uses as much as digits as its factorization.

105722793693089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 308629440, while the sum is 71.

The spelling of 105722793693089 in words is "one hundred five trillion, seven hundred twenty-two billion, seven hundred ninety-three million, six hundred ninety-three thousand, eighty-nine".