10605395300849 has 2 divisors, whose sum is σ = 10605395300850. Its totient is φ = 10605395300848.

The previous prime is 10605395300821. The next prime is 10605395300977. The reversal of 10605395300849 is 94800359350601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10425517526449 + 179877774400 = 3228857^2 + 424120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605395300849 - 2³⁶ = 10536675824113 is a prime.

It is a super-2 number, since 2×10605395300849² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10605395300849.

It is not a weakly prime, because it can be changed into another prime (10605395300809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302697650424 + 5302697650425.

It is an arithmetic number, because the mean of its divisors is an integer number (5302697650425).

Almost surely, 2^{10605395300849} is an apocalyptic number.

It is an amenable number.

10605395300849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605395300849 is an equidigital number, since it uses as much as digits as its factorization.

10605395300849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3499200, while the sum is 53.

The spelling of 10605395300849 in words is "ten trillion, six hundred five billion, three hundred ninety-five million, three hundred thousand, eight hundred forty-nine".