109818720 has 192 divisors, whose sum is σ = 419489280. Its totient is φ = 26611200.

The previous prime is 109818719. The next prime is 109818733. The reversal of 109818720 is 27818901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46365 + ... + 48675.

It is an arithmetic number, because the mean of its divisors is an integer number (2184840).

Almost surely, 2^109818720 is an apocalyptic number.

109818720 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 109818720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209744640).

109818720 is an abundant number, since it is smaller than the sum of its proper divisors (309670560).

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

109818720 is a wasteful number, since it uses less digits than its factorization.

109818720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 109818720 is about 10479.4427332755. The cubic root of 109818720 is about 478.8786323203.

It can be divided in two parts, 10981 and 8720, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 109818720 in words is "one hundred nine million, eight hundred eighteen thousand, seven hundred twenty".