109800960 has 240 divisors, whose sum is σ = 384926256. Its totient is φ = 26607616.

The previous prime is 109800959. The next prime is 109800961. The reversal of 109800960 is 69008901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109800959) and next prime (109800961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109800961) 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 23 ways as a sum of consecutive naturals, for example, 3786226 + ... + 3786254.

Almost surely, 2^109800960 is an apocalyptic number.

109800960 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 109800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192463128).

109800960 is an abundant number, since it is smaller than the sum of its proper divisors (275125296).

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

109800960 is an equidigital number, since it uses as much as digits as its factorization.

109800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 109800960 is about 10478.5953257104. The cubic root of 109800960 is about 478.8528160083.

The spelling of 109800960 in words is "one hundred nine million, eight hundred thousand, nine hundred sixty".