11107008 has 84 divisors (see below), whose sum is σ = 34750248. Its totient is φ = 3363840.

The previous prime is 11107007. The next prime is 11107013. The reversal of 11107008 is 80070111.

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 (11107007) 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 11 ways as a sum of consecutive naturals, for example, 5460 + ... + 7212.

Almost surely, 2^11107008 is an apocalyptic number.

11107008 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 11107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375124).

11107008 is an abundant number, since it is smaller than the sum of its proper divisors (23643240).

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

11107008 is a wasteful number, since it uses less digits than its factorization.

11107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 11107008 is about 3332.7178098363. The cubic root of 11107008 is about 223.1168457345.

Adding to 11107008 its reverse (80070111), we get a palindrome (91177119).

It can be divided in two parts, 1110 and 7008, that added together give a palindrome (8118).

The spelling of 11107008 in words is "eleven million, one hundred seven thousand, eight".