105984 has 60 divisors (see below), whose sum is σ = 319176. Its totient is φ = 33792.

The previous prime is 105983. The next prime is 105997. The reversal of 105984 is 489501.

It is a super-2 number, since 2×105984² = 22465216512, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105984.

It is not an unprimeable number, because it can be changed into a prime (105983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4597 + ... + 4619.

2¹⁰⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588).

105984 is an abundant number, since it is smaller than the sum of its proper divisors (213192).

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

105984 is an equidigital number, since it uses as much as digits as its factorization.

105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105984 is about 325.5518391900. The cubic root of 105984 is about 47.3238535976.

It can be divided in two parts, 105 and 984, that added together give a square (1089 = 33²).

The spelling of 105984 in words is "one hundred five thousand, nine hundred eighty-four".