105643065329 has 2 divisors, whose sum is σ = 105643065330. Its totient is φ = 105643065328.

The previous prime is 105643065301. The next prime is 105643065377. The reversal of 105643065329 is 923560346501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101569690000 + 4073375329 = 318700^2 + 63823^2 .

It is a cyclic number.

It is not a de Polignac number, because 105643065329 - 2²⁸ = 105374629873 is a prime.

It is a super-2 number, since 2×105643065329² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105643065329.

It is not a weakly prime, because it can be changed into another prime (105643065379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52821532664 + 52821532665.

It is an arithmetic number, because the mean of its divisors is an integer number (52821532665).

Almost surely, 2^105643065329 is an apocalyptic number.

It is an amenable number.

105643065329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105643065329 is an equidigital number, since it uses as much as digits as its factorization.

105643065329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 105643065329 in words is "one hundred five billion, six hundred forty-three million, sixty-five thousand, three hundred twenty-nine".