109726320 has 160 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 26245120.

The previous prime is 109726319. The next prime is 109726327. The reversal of 109726320 is 23627901.

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 (109726327) 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 31 ways as a sum of consecutive naturals, for example, 234727 + ... + 235193.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2^109726320 is an apocalyptic number.

109726320 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 109726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

109726320 is an abundant number, since it is smaller than the sum of its proper divisors (266321040).

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

109726320 is a wasteful number, since it uses less digits than its factorization.

109726320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 109726320 is about 10475.0331741718. The cubic root of 109726320 is about 478.7442872790.

The spelling of 109726320 in words is "one hundred nine million, seven hundred twenty-six thousand, three hundred twenty".