109528320 has 144 divisors (see below), whose sum is σ = 381753792. Its totient is φ = 26542080.

The previous prime is 109528313. The next prime is 109528327. The reversal of 109528320 is 23825901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109528313) and next prime (109528327).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109528327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40944 + ... + 43536.

It is an arithmetic number, because the mean of its divisors is an integer number (2651068).

Almost surely, 2^109528320 is an apocalyptic number.

109528320 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 109528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190876896).

109528320 is an abundant number, since it is smaller than the sum of its proper divisors (272225472).

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

109528320 is a wasteful number, since it uses less digits than its factorization.

109528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 109528320 is about 10465.5778626887. The cubic root of 109528320 is about 478.4561508720.

The spelling of 109528320 in words is "one hundred nine million, five hundred twenty-eight thousand, three hundred twenty".