109760 has 56 divisors (see below), whose sum is σ = 304800. Its totient is φ = 37632.

The previous prime is 109751. The next prime is 109789. The reversal of 109760 is 67901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

109760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15677 + ... + 15683.

2¹⁰⁹⁷⁶⁰ is an apocalyptic number.

109760 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 109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152400).

109760 is an abundant number, since it is smaller than the sum of its proper divisors (195040).

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

109760 is an frugal number, since it uses more digits than its factorization.

109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 109760 is about 331.3004678536. The cubic root of 109760 is about 47.8793265069.

The spelling of 109760 in words is "one hundred nine thousand, seven hundred sixty".