102827591292973 has 2 divisors, whose sum is σ = 102827591292974. Its totient is φ = 102827591292972.

The previous prime is 102827591292961. The next prime is 102827591292989. The reversal of 102827591292973 is 379292195728201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75219576018084 + 27608015274889 = 8672922^2 + 5254333^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102827591292973 is a prime.

It is a super-2 number, since 2×102827591292973² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102827591292899 and 102827591292908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102827591292373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51413795646486 + 51413795646487.

It is an arithmetic number, because the mean of its divisors is an integer number (51413795646487).

Almost surely, 2^{102827591292973} is an apocalyptic number.

It is an amenable number.

102827591292973 is a deficient number, since it is larger than the sum of its proper divisors (1).

102827591292973 is an equidigital number, since it uses as much as digits as its factorization.

102827591292973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68584320, while the sum is 67.

The spelling of 102827591292973 in words is "one hundred two trillion, eight hundred twenty-seven billion, five hundred ninety-one million, two hundred ninety-two thousand, nine hundred seventy-three".