10108262664289 has 2 divisors, whose sum is σ = 10108262664290. Its totient is φ = 10108262664288.

The previous prime is 10108262664161. The next prime is 10108262664293. The reversal of 10108262664289 is 98246626280101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9887754470400 + 220508193889 = 3144480^2 + 469583^2 .

It is a cyclic number.

It is not a de Polignac number, because 10108262664289 - 2⁷ = 10108262664161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10108262664299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5054131332144 + 5054131332145.

It is an arithmetic number, because the mean of its divisors is an integer number (5054131332145).

Almost surely, 2^{10108262664289} is an apocalyptic number.

It is an amenable number.

10108262664289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10108262664289 is an equidigital number, since it uses as much as digits as its factorization.

10108262664289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 10108262664289 in words is "ten trillion, one hundred eight billion, two hundred sixty-two million, six hundred sixty-four thousand, two hundred eighty-nine".