10345081177 has 2 divisors, whose sum is σ = 10345081178. Its totient is φ = 10345081176.

The previous prime is 10345081157. The next prime is 10345081223. The reversal of 10345081177 is 77118054301.

10345081177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7065915481 + 3279165696 = 84059^2 + 57264^2 .

It is a cyclic number.

It is not a de Polignac number, because 10345081177 - 2⁷ = 10345081049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10345081147) 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, 5172540588 + 5172540589.

It is an arithmetic number, because the mean of its divisors is an integer number (5172540589).

Almost surely, 2^10345081177 is an apocalyptic number.

It is an amenable number.

10345081177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10345081177 is an equidigital number, since it uses as much as digits as its factorization.

10345081177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 10345081177 in words is "ten billion, three hundred forty-five million, eighty-one thousand, one hundred seventy-seven".