110880042 has 96 divisors (see below), whose sum is σ = 282606912. Its totient is φ = 28740096.

The previous prime is 110880041. The next prime is 110880043. The reversal of 110880042 is 240088011.

It is an interprime number because it is at equal distance from previous prime (110880041) and next prime (110880043).

It is a junction number, because it is equal to n+sod(n) for n = 110879994 and 110880021.

It is not an unprimeable number, because it can be changed into a prime (110880041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255858 + ... + 256290.

It is an arithmetic number, because the mean of its divisors is an integer number (2943822).

Almost surely, 2^110880042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110880042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141303456).

110880042 is an abundant number, since it is smaller than the sum of its proper divisors (171726870).

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

110880042 is a wasteful number, since it uses less digits than its factorization.

110880042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 110880042 is about 10529.9592591804. The cubic root of 110880042 is about 480.4163661578.

The spelling of 110880042 in words is "one hundred ten million, eight hundred eighty thousand, forty-two".