103688 has 16 divisors (see below), whose sum is σ = 209580. Its totient is φ = 47808.

The previous prime is 103687. The next prime is 103699. The reversal of 103688 is 886301.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 4 = 322^2 + 2^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (103681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395 + ... + 602.

103688 is a Friedman number, since it can be written as 8+80*6^(3+1), using all its digits and the basic arithmetic operations.

2¹⁰³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

103688 is an abundant number, since it is smaller than the sum of its proper divisors (105892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103688 is a wasteful number, since it uses less digits than its factorization.

103688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 103688 is about 322.0062111202. The cubic root of 103688 is about 46.9796199554.

Adding to 103688 its reverse (886301), we get a palindrome (989989).

It can be divided in two parts, 10368 and 8, that multiplied together give a square (82944 = 288²).

The spelling of 103688 in words is "one hundred three thousand, six hundred eighty-eight".