11108000 has 48 divisors (see below), whose sum is σ = 27302184. Its totient is φ = 4441600.

The previous prime is 11107969. The next prime is 11108047. The reversal of 11108000 is 80111.

11108000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1547536 + 9560464 = 1244^2 + 3092^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2612 + ... + 5388.

Almost surely, 2^11108000 is an apocalyptic number.

11108000 is a gapful number since it is divisible by the number (10) 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 11108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651092).

11108000 is an abundant number, since it is smaller than the sum of its proper divisors (16194184).

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

11108000 is an equidigital number, since it uses as much as digits as its factorization.

11108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 11108000 is about 3332.8666339954. The cubic root of 11108000 is about 223.1234879470.

Adding to 11108000 its reverse (80111), we get a palindrome (11188111).

The spelling of 11108000 in words is "eleven million, one hundred eight thousand".