110082240 has 280 divisors, whose sum is σ = 407164032. Its totient is φ = 28200960.

The previous prime is 110082239. The next prime is 110082241. The reversal of 110082240 is 42280011.

It is an interprime number because it is at equal distance from previous prime (110082239) and next prime (110082241).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110082241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803452 + ... + 803588.

Almost surely, 2^110082240 is an apocalyptic number.

110082240 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 110082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203582016).

110082240 is an abundant number, since it is smaller than the sum of its proper divisors (297081792).

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

110082240 is a wasteful number, since it uses less digits than its factorization.

110082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 110082240 is about 10492.0083873394. The cubic root of 110082240 is about 479.2613639513.

The spelling of 110082240 in words is "one hundred ten million, eighty-two thousand, two hundred forty".