102790387172761 has 2 divisors, whose sum is σ = 102790387172762. Its totient is φ = 102790387172760.

The previous prime is 102790387172731. The next prime is 102790387172951. The reversal of 102790387172761 is 167271783097201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87785300323161 + 15005086849600 = 9369381^2 + 3873640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102790387172761 is a prime.

It is a super-2 number, since 2×102790387172761² (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 102790387172761.

It is not a weakly prime, because it can be changed into another prime (102790387172731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51395193586380 + 51395193586381.

It is an arithmetic number, because the mean of its divisors is an integer number (51395193586381).

Almost surely, 2^{102790387172761} is an apocalyptic number.

It is an amenable number.

102790387172761 is a deficient number, since it is larger than the sum of its proper divisors (1).

102790387172761 is an equidigital number, since it uses as much as digits as its factorization.

102790387172761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12446784, while the sum is 61.

The spelling of 102790387172761 in words is "one hundred two trillion, seven hundred ninety billion, three hundred eighty-seven million, one hundred seventy-two thousand, seven hundred sixty-one".