10084372769 has 2 divisors, whose sum is σ = 10084372770. Its totient is φ = 10084372768.

The previous prime is 10084372709. The next prime is 10084372777. The reversal of 10084372769 is 96727348001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5400339169 + 4684033600 = 73487^2 + 68440^2 .

It is a cyclic number.

It is not a de Polignac number, because 10084372769 - 2³² = 5789405473 is a prime.

It is a super-2 number, since 2×10084372769² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10084372709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042186384 + 5042186385.

It is an arithmetic number, because the mean of its divisors is an integer number (5042186385).

Almost surely, 2^10084372769 is an apocalyptic number.

It is an amenable number.

10084372769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10084372769 is an equidigital number, since it uses as much as digits as its factorization.

10084372769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 10084372769 in words is "ten billion, eighty-four million, three hundred seventy-two thousand, seven hundred sixty-nine".