109344816 has 200 divisors, whose sum is σ = 383502240. Its totient is φ = 29362176.

The previous prime is 109344811. The next prime is 109344817. The reversal of 109344816 is 618443901.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109344811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153870 + ... + 154578.

Almost surely, 2^109344816 is an apocalyptic number.

109344816 is a gapful number since it is divisible by the number (16) 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 109344816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191751120).

109344816 is an abundant number, since it is smaller than the sum of its proper divisors (274157424).

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

109344816 is a wasteful number, since it uses less digits than its factorization.

109344816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109344816 is about 10456.8071608881. The cubic root of 109344816 is about 478.1887993296.

The spelling of 109344816 in words is "one hundred nine million, three hundred forty-four thousand, eight hundred sixteen".