102827590768769 has 2 divisors, whose sum is σ = 102827590768770. Its totient is φ = 102827590768768.

The previous prime is 102827590768733. The next prime is 102827590768781. The reversal of 102827590768769 is 967867095728201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73931450755600 + 28896140013169 = 8598340^2 + 5375513^2 .

It is a cyclic number.

It is not a de Polignac number, because 102827590768769 - 2⁴⁰ = 101728079140993 is a prime.

It is a super-2 number, since 2×102827590768769² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102827590768769.

It is not a weakly prime, because it can be changed into another prime (102827590761769) 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, 51413795384384 + 51413795384385.

It is an arithmetic number, because the mean of its divisors is an integer number (51413795384385).

Almost surely, 2^{102827590768769} is an apocalyptic number.

It is an amenable number.

102827590768769 is a deficient number, since it is larger than the sum of its proper divisors (1).

102827590768769 is an equidigital number, since it uses as much as digits as its factorization.

102827590768769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280240640, while the sum is 77.

The spelling of 102827590768769 in words is "one hundred two trillion, eight hundred twenty-seven billion, five hundred ninety million, seven hundred sixty-eight thousand, seven hundred sixty-nine".