102827591293071 has 24 divisors (see below), whose sum is σ = 148064312415360. Its totient is φ = 63433422262224.

The previous prime is 102827591293057. The next prime is 102827591293079. The reversal of 102827591293071 is 170392195728201.

It is not a de Polignac number, because 102827591293071 - 2²³ = 102827582904463 is a prime.

It is a super-2 number, since 2×102827591293071² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102827591293079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1103988211 + ... + 1104081348.

It is an arithmetic number, because the mean of its divisors is an integer number (6169346350640).

Almost surely, 2^{102827591293071} is an apocalyptic number.

102827591293071 is a deficient number, since it is larger than the sum of its proper divisors (45236721122289).

102827591293071 is a wasteful number, since it uses less digits than its factorization.

102827591293071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208069643 (or 2208069624 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 102827591293071 in words is "one hundred two trillion, eight hundred twenty-seven billion, five hundred ninety-one million, two hundred ninety-three thousand, seventy-one".