10090918289 has 2 divisors, whose sum is σ = 10090918290. Its totient is φ = 10090918288.

The previous prime is 10090918273. The next prime is 10090918301. The reversal of 10090918289 is 98281909001.

10090918289 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., 10058485264 + 32433025 = 100292^2 + 5695^2 .

It is a cyclic number.

It is not a de Polignac number, because 10090918289 - 2⁴ = 10090918273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10090918249) 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, 5045459144 + 5045459145.

It is an arithmetic number, because the mean of its divisors is an integer number (5045459145).

Almost surely, 2^10090918289 is an apocalyptic number.

It is an amenable number.

10090918289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10090918289 is an equidigital number, since it uses as much as digits as its factorization.

10090918289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 47.

The spelling of 10090918289 in words is "ten billion, ninety million, nine hundred eighteen thousand, two hundred eighty-nine".