109744000 has 128 divisors (see below), whose sum is σ = 288007200. Its totient is φ = 41587200.

The previous prime is 109743979. The next prime is 109744001. The reversal of 109744000 is 447901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109744001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5775991 + ... + 5776009.

Almost surely, 2^109744000 is an apocalyptic number.

109744000 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 109744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144003600).

109744000 is an abundant number, since it is smaller than the sum of its proper divisors (178263200).

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

109744000 is an frugal number, since it uses more digits than its factorization.

109744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 109744000 is about 10475.8770515886. The cubic root of 109744000 is about 478.7699989601.

The spelling of 109744000 in words is "one hundred nine million, seven hundred forty-four thousand".