102682137 has 16 divisors (see below), whose sum is σ = 148766720. Its totient is φ = 62758800.

The previous prime is 102682109. The next prime is 102682157. The reversal of 102682137 is 731286201.

It is not a de Polignac number, because 102682137 - 2¹⁵ = 102649369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102682157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27289 + ... + 30822.

It is an arithmetic number, because the mean of its divisors is an integer number (9297920).

Almost surely, 2^102682137 is an apocalyptic number.

It is an amenable number.

102682137 is a deficient number, since it is larger than the sum of its proper divisors (46084583).

102682137 is a wasteful number, since it uses less digits than its factorization.

102682137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58164.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 102682137 is about 10133.2194785270. The cubic root of 102682137 is about 468.2721178444.

The spelling of 102682137 in words is "one hundred two million, six hundred eighty-two thousand, one hundred thirty-seven".