102827591293057 has 2 divisors, whose sum is σ = 102827591293058. Its totient is φ = 102827591293056.

The previous prime is 102827591292989. The next prime is 102827591293079. The reversal of 102827591293057 is 750392195728201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94004736924816 + 8822854368241 = 9695604^2 + 2970329^2 .

It is a cyclic number.

It is not a de Polignac number, because 102827591293057 - 2¹⁹ = 102827590768769 is a prime.

It is a super-2 number, since 2×102827591293057² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102827591292986 and 102827591293004.

It is not a weakly prime, because it can be changed into another prime (102827591293457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51413795646528 + 51413795646529.

It is an arithmetic number, because the mean of its divisors is an integer number (51413795646529).

Almost surely, 2^{102827591293057} is an apocalyptic number.

It is an amenable number.

102827591293057 is a deficient number, since it is larger than the sum of its proper divisors (1).

102827591293057 is an equidigital number, since it uses as much as digits as its factorization.

102827591293057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19051200, while the sum is 61.

The spelling of 102827591293057 in words is "one hundred two trillion, eight hundred twenty-seven billion, five hundred ninety-one million, two hundred ninety-three thousand, fifty-seven".