10103016589793 has 2 divisors, whose sum is σ = 10103016589794. Its totient is φ = 10103016589792.

The previous prime is 10103016589777. The next prime is 10103016589811. The reversal of 10103016589793 is 39798561030101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9331760272849 + 771256316944 = 3054793^2 + 878212^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103016589793 - 2⁴ = 10103016589777 is a prime.

It is not a weakly prime, because it can be changed into another prime (10103016589723) 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, 5051508294896 + 5051508294897.

It is an arithmetic number, because the mean of its divisors is an integer number (5051508294897).

Almost surely, 2^{10103016589793} is an apocalyptic number.

It is an amenable number.

10103016589793 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103016589793 is an equidigital number, since it uses as much as digits as its factorization.

10103016589793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1224720, while the sum is 53.

The spelling of 10103016589793 in words is "ten trillion, one hundred three billion, sixteen million, five hundred eighty-nine thousand, seven hundred ninety-three".