102842137 has 2 divisors, whose sum is σ = 102842138. Its totient is φ = 102842136.

The previous prime is 102842093. The next prime is 102842141. The reversal of 102842137 is 731248201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93238336 + 9603801 = 9656^2 + 3099^2 .

It is an emirp because it is prime and its reverse (731248201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102842137 - 2²³ = 94453529 is a prime.

It is not a weakly prime, because it can be changed into another prime (102842167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51421068 + 51421069.

It is an arithmetic number, because the mean of its divisors is an integer number (51421069).

Almost surely, 2^102842137 is an apocalyptic number.

It is an amenable number.

102842137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102842137 is an equidigital number, since it uses as much as digits as its factorization.

102842137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 102842137 is about 10141.1112310239. Note that the first 3 decimals coincide. The cubic root of 102842137 is about 468.5152132170.

It can be divided in two parts, 10284 and 2137, that added together give a palindrome (12421).

The spelling of 102842137 in words is "one hundred two million, eight hundred forty-two thousand, one hundred thirty-seven".