10093845577 has 2 divisors, whose sum is σ = 10093845578. Its totient is φ = 10093845576.

The previous prime is 10093845547. The next prime is 10093845599. The reversal of 10093845577 is 77554839001.

It is a happy number.

10093845577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9796248576 + 297597001 = 98976^2 + 17251^2 .

It is a cyclic number.

It is not a de Polignac number, because 10093845577 - 2⁷ = 10093845449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10093845577.

It is not a weakly prime, because it can be changed into another prime (10093845547) 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, 5046922788 + 5046922789.

It is an arithmetic number, because the mean of its divisors is an integer number (5046922789).

Almost surely, 2^10093845577 is an apocalyptic number.

It is an amenable number.

10093845577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10093845577 is an equidigital number, since it uses as much as digits as its factorization.

10093845577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 10093845577 in words is "ten billion, ninety-three million, eight hundred forty-five thousand, five hundred seventy-seven".