110109440 has 72 divisors (see below), whose sum is σ = 301449120. Its totient is φ = 37748736.

The previous prime is 110109409. The next prime is 110109449. The reversal of 110109440 is 44901011.

It is a super-2 number, since 2×110109440² = 24248177554227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (110109449) by changing a digit.

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, 2816 + ... + 15104.

Almost surely, 2^110109440 is an apocalyptic number.

110109440 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 110109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150724560).

110109440 is an abundant number, since it is smaller than the sum of its proper divisors (191339680).

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

110109440 is an equidigital number, since it uses as much as digits as its factorization.

110109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 110109440 is about 10493.3045319384. The cubic root of 110109440 is about 479.3008339439.

The spelling of 110109440 in words is "one hundred ten million, one hundred nine thousand, four hundred forty".