105684 has 12 divisors (see below), whose sum is σ = 246624. Its totient is φ = 35224.

The previous prime is 105683. The next prime is 105691. The reversal of 105684 is 486501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105684² = 22338215712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683) 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, 4392 + ... + 4415.

It is an arithmetic number, because the mean of its divisors is an integer number (20552).

2¹⁰⁵⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

105684 is an abundant number, since it is smaller than the sum of its proper divisors (140940).

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

105684 is a wasteful number, since it uses less digits than its factorization.

105684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8814 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105684 is about 325.0907565588. The cubic root of 105684 is about 47.2791595156.

The spelling of 105684 in words is "one hundred five thousand, six hundred eighty-four".