110405140 has 48 divisors (see below), whose sum is σ = 247039632. Its totient is φ = 41302016.

The previous prime is 110405137. The next prime is 110405153. The reversal of 110405140 is 41504011.

It can be written as a sum of positive squares in 8 ways, for example, as 15225604 + 95179536 = 3902^2 + 9756^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57882 + ... + 59758.

It is an arithmetic number, because the mean of its divisors is an integer number (5146659).

Almost surely, 2^110405140 is an apocalyptic number.

110405140 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 110405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123519816).

110405140 is an abundant number, since it is smaller than the sum of its proper divisors (136634492).

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

110405140 is a wasteful number, since it uses less digits than its factorization.

110405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 110405140 is about 10507.3850219738. The cubic root of 110405140 is about 479.7295061624.

Adding to 110405140 its reverse (41504011), we get a palindrome (151909151).

The spelling of 110405140 in words is "one hundred ten million, four hundred five thousand, one hundred forty".