110020008 has 64 divisors (see below), whose sum is σ = 315250560. Its totient is φ = 31343616.

The previous prime is 110020003. The next prime is 110020049. The reversal of 110020008 is 800020011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110019975 and 110020002.

It is not an unprimeable number, because it can be changed into a prime (110020003) 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 15 ways as a sum of consecutive naturals, for example, 76060 + ... + 77492.

It is an arithmetic number, because the mean of its divisors is an integer number (4925790).

Almost surely, 2^110020008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110020008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157625280).

110020008 is an abundant number, since it is smaller than the sum of its proper divisors (205230552).

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

110020008 is a wasteful number, since it uses less digits than its factorization.

110020008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110020008 is about 10489.0422823059. The cubic root of 110020008 is about 479.1710344689.

Adding to 110020008 its reverse (800020011), we get a palindrome (910040019).

The spelling of 110020008 in words is "one hundred ten million, twenty thousand, eight".