109440 has 96 divisors (see below), whose sum is σ = 397800. Its totient is φ = 27648.

The previous prime is 109433. The next prime is 109441. The reversal of 109440 is 44901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×109440² = 23954227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5751 + ... + 5769.

2¹⁰⁹⁴⁴⁰ is an apocalyptic number.

109440 is a gapful number since it is divisible by the number (10) 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 109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198900).

109440 is an abundant number, since it is smaller than the sum of its proper divisors (288360).

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

109440 is a wasteful number, since it uses less digits than its factorization.

109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 109440 is about 330.8171700502. The cubic root of 109440 is about 47.8327512572.

The spelling of 109440 in words is "one hundred nine thousand, four hundred forty".