109791360 has 288 divisors, whose sum is σ = 442154700. Its totient is φ = 25030656.

The previous prime is 109791349. The next prime is 109791391. The reversal of 109791360 is 63197901.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 4769856 = 10248^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282046 + ... + 282434.

Almost surely, 2^109791360 is an apocalyptic number.

109791360 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 109791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221077350).

109791360 is an abundant number, since it is smaller than the sum of its proper divisors (332363340).

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

109791360 is a wasteful number, since it uses less digits than its factorization.

109791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 109791360 is about 10478.1372390325. The cubic root of 109791360 is about 478.8388600859.

The spelling of 109791360 in words is "one hundred nine million, seven hundred ninety-one thousand, three hundred sixty".