109940320 has 144 divisors (see below), whose sum is σ = 311124240. Its totient is φ = 36578304.

The previous prime is 109940297. The next prime is 109940321. The reversal of 109940320 is 23049901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109940321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289891 + ... + 290269.

It is an arithmetic number, because the mean of its divisors is an integer number (2160585).

Almost surely, 2^109940320 is an apocalyptic number.

109940320 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 109940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155562120).

109940320 is an abundant number, since it is smaller than the sum of its proper divisors (201183920).

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

109940320 is a wasteful number, since it uses less digits than its factorization.

109940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 109940320 is about 10485.2429633271. The cubic root of 109940320 is about 479.0553179285.

The spelling of 109940320 in words is "one hundred nine million, nine hundred forty thousand, three hundred twenty".