110042208 has 72 divisors (see below), whose sum is σ = 314810496. Its totient is φ = 36460800.

The previous prime is 110042183. The next prime is 110042209. The reversal of 110042208 is 802240011.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110042209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51073 + ... + 53183.

It is an arithmetic number, because the mean of its divisors is an integer number (4372368).

Almost surely, 2^110042208 is an apocalyptic number.

110042208 is a gapful number since it is divisible by the number (18) 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 110042208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157405248).

110042208 is an abundant number, since it is smaller than the sum of its proper divisors (204768288).

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

110042208 is a wasteful number, since it uses less digits than its factorization.

110042208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2297 counting only the distinct ones).

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

The square root of 110042208 is about 10490.1004761632. The cubic root of 110042208 is about 479.2032615815.

Adding to 110042208 its reverse (802240011), we get a palindrome (912282219).

The spelling of 110042208 in words is "one hundred ten million, forty-two thousand, two hundred eight".