109044000 has 288 divisors, whose sum is σ = 418554864. Its totient is φ = 26726400.

The previous prime is 109043999. The next prime is 109044029. The reversal of 109044000 is 440901.

It can be written as a sum of positive squares in 8 ways, for example, as 3283344 + 105760656 = 1812^2 + 10284^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467884 + ... + 468116.

Almost surely, 2^109044000 is an apocalyptic number.

109044000 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 109044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209277432).

109044000 is an abundant number, since it is smaller than the sum of its proper divisors (309510864).

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

109044000 is a wasteful number, since it uses less digits than its factorization.

109044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

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

The square root of 109044000 is about 10442.4135141259. The cubic root of 109044000 is about 477.7498851974.

Adding to 109044000 its reverse (440901), we get a palindrome (109484901).

The spelling of 109044000 in words is "one hundred nine million, forty-four thousand".