109984 has 24 divisors (see below), whose sum is σ = 247968. Its totient is φ = 47040.

The previous prime is 109961. The next prime is 109987. The reversal of 109984 is 489901.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (109987) 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, 22 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (10332).

2¹⁰⁹⁹⁸⁴ is an apocalyptic number.

109984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984).

109984 is an abundant number, since it is smaller than the sum of its proper divisors (137984).

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

109984 is an equidigital number, since it uses as much as digits as its factorization.

109984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 109984 is about 331.6383572508. The cubic root of 109984 is about 47.9118753453.

The spelling of 109984 in words is "one hundred nine thousand, nine hundred eighty-four".