109824 has 72 divisors (see below), whose sum is σ = 343392. Its totient is φ = 30720.

The previous prime is 109819. The next prime is 109829. The reversal of 109824 is 428901.

It is an interprime number because it is at equal distance from previous prime (109819) and next prime (109829).

It is a super-2 number, since 2×109824² = 24122621952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a cake number, because a cake can be divided into 109824 parts by 87 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 109794 and 109803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8442 + ... + 8454.

2¹⁰⁹⁸²⁴ 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 109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171696).

109824 is an abundant number, since it is smaller than the sum of its proper divisors (233568).

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

109824 is a wasteful number, since it uses less digits than its factorization.

109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 109824 is about 331.3970428353. The cubic root of 109824 is about 47.8886306903. Note that the first 3 decimals are identical.

The spelling of 109824 in words is "one hundred nine thousand, eight hundred twenty-four".