102688 has 12 divisors (see below), whose sum is σ = 202230. Its totient is φ = 51328.

The previous prime is 102679. The next prime is 102701. The reversal of 102688 is 886201.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 17424 = 292^2 + 132^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1573 + ... + 1636.

2¹⁰²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

102688 is a deficient number, since it is larger than the sum of its proper divisors (99542).

102688 is an equidigital number, since it uses as much as digits as its factorization.

102688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 102688 is about 320.4496840379. The cubic root of 102688 is about 46.8281030226.

Adding to 102688 its reverse (886201), we get a palindrome (988889).

The spelling of 102688 in words is "one hundred two thousand, six hundred eighty-eight".