110005440 has 224 divisors, whose sum is σ = 379902720. Its totient is φ = 26873856.

The previous prime is 110005433. The next prime is 110005451. The reversal of 110005440 is 44500011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 674799 + ... + 674961.

Almost surely, 2^110005440 is an apocalyptic number.

110005440 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 110005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189951360).

110005440 is an abundant number, since it is smaller than the sum of its proper divisors (269897280).

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

110005440 is a wasteful number, since it uses less digits than its factorization.

110005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 110005440 is about 10488.3478203195. The cubic root of 110005440 is about 479.1498841591.

Adding to 110005440 its reverse (44500011), we get a palindrome (154505451).

The spelling of 110005440 in words is "one hundred ten million, five thousand, four hundred forty".