102685689 has 24 divisors (see below), whose sum is σ = 152532744. Its totient is φ = 66528000.

The previous prime is 102685679. The next prime is 102685697. The reversal of 102685689 is 986586201.

It can be written as a sum of positive squares in 4 ways, for example, as 837225 + 101848464 = 915^2 + 10092^2 .

It is not a de Polignac number, because 102685689 - 2¹⁹ = 102161401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102685679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155019 + ... + 155679.

It is an arithmetic number, because the mean of its divisors is an integer number (6355531).

Almost surely, 2^102685689 is an apocalyptic number.

It is an amenable number.

102685689 is a deficient number, since it is larger than the sum of its proper divisors (49847055).

102685689 is a wasteful number, since it uses less digits than its factorization.

102685689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 102685689 is about 10133.3947421385. The cubic root of 102685689 is about 468.2775173016.

The spelling of 102685689 in words is "one hundred two million, six hundred eighty-five thousand, six hundred eighty-nine".