109673360 has 80 divisors (see below), whose sum is σ = 270451440. Its totient is φ = 41287680.

The previous prime is 109673357. The next prime is 109673411. The reversal of 109673360 is 63376901.

It can be written as a sum of positive squares in 8 ways, for example, as 3748096 + 105925264 = 1936^2 + 10292^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 109673360.

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 15 ways as a sum of consecutive naturals, for example, 94544 + ... + 95696.

It is an arithmetic number, because the mean of its divisors is an integer number (3380643).

Almost surely, 2^109673360 is an apocalyptic number.

109673360 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 109673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135225720).

109673360 is an abundant number, since it is smaller than the sum of its proper divisors (160778080).

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

109673360 is a wasteful number, since it uses less digits than its factorization.

109673360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 109673360 is about 10472.5049534483. The cubic root of 109673360 is about 478.6672520466.

The spelling of 109673360 in words is "one hundred nine million, six hundred seventy-three thousand, three hundred sixty".