109344000 has 288 divisors, whose sum is σ = 390289536. Its totient is φ = 27033600.

The previous prime is 109343989. The next prime is 109344013. The reversal of 109344000 is 443901.

It is a super-2 number, since 2×109344000² = 23912220672000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631967 + ... + 1632033.

It is an arithmetic number, because the mean of its divisors is an integer number (1355172).

Almost surely, 2^109344000 is an apocalyptic number.

109344000 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 109344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195144768).

109344000 is an abundant number, since it is smaller than the sum of its proper divisors (280945536).

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

109344000 is an equidigital number, since it uses as much as digits as its factorization.

109344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 109344000 is about 10456.7681431693. The cubic root of 109344000 is about 478.1876098111.

Adding to 109344000 its reverse (443901), we get a palindrome (109787901).

The spelling of 109344000 in words is "one hundred nine million, three hundred forty-four thousand".