103686 has 16 divisors (see below), whose sum is σ = 226368. Its totient is φ = 31400.

The previous prime is 103681. The next prime is 103687. The reversal of 103686 is 686301.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (14148).

103686 is a Friedman number, since it can be written as 6+80*6^(3+1), using all its digits and the basic arithmetic operations.

2¹⁰³⁶⁸⁶ is an apocalyptic number.

103686 is an abundant number, since it is smaller than the sum of its proper divisors (122682).

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

103686 is a wasteful number, since it uses less digits than its factorization.

103686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 103686 is about 322.0031055751. The cubic root of 103686 is about 46.9793178959.

Adding to 103686 its reverse (686301), we get a palindrome (789987).

The spelling of 103686 in words is "one hundred three thousand, six hundred eighty-six".