1008110144 has 56 divisors (see below), whose sum is σ = 2071469568. Its totient is φ = 486466560.

The previous prime is 1008110141. The next prime is 1008110221. The reversal of 1008110144 is 4410118001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1008110141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 217289 + ... + 221879.

It is an arithmetic number, because the mean of its divisors is an integer number (36990528).

Almost surely, 2^1008110144 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 1008110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035734784).

1008110144 is an abundant number, since it is smaller than the sum of its proper divisors (1063359424).

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

1008110144 is an equidigital number, since it uses as much as digits as its factorization.

1008110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1008110144 is about 31750.7502903475. The cubic root of 1008110144 is about 1002.6961058141.

Adding to 1008110144 its reverse (4410118001), we get a palindrome (5418228145).

The spelling of 1008110144 in words is "one billion, eight million, one hundred ten thousand, one hundred forty-four".