103684 has 27 divisors (see below), whose sum is σ = 220647. Its totient is φ = 42504.

The previous prime is 103681. The next prime is 103687. The reversal of 103684 is 486301.

103684 = T₃₉ + T₄₀ + ... + T₈₇.

The square root of 103684 is 322.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (103681) and next prime (103687).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103684.

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 8 ways as a sum of consecutive naturals, for example, 4497 + ... + 4519.

103684 is a Friedman number, since it can be written as 80*6^(3+1)+4, using all its digits and the basic arithmetic operations.

2¹⁰³⁶⁸⁴ is an apocalyptic number.

103684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103684 is the 322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103684

103684 is an abundant number, since it is smaller than the sum of its proper divisors (116963).

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

103684 is a wasteful number, since it uses less digits than its factorization.

103684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 103684 is about 46.9790158325.

Multiplying 103684 by its product of nonzero digits (576), we get a square (59721984 = 7728²).

Adding to 103684 its reverse (486301), we get a palindrome (589985).

It can be divided in two parts, 103 and 684, that added together give a palindrome (787).

The spelling of 103684 in words is "one hundred three thousand, six hundred eighty-four".