11105880 has 64 divisors (see below), whose sum is σ = 35078400. Its totient is φ = 2805120.

The previous prime is 11105873. The next prime is 11105881. The reversal of 11105880 is 8850111.

11105880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11105880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 2^11105880 is an apocalyptic number.

11105880 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 11105880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539200).

11105880 is an abundant number, since it is smaller than the sum of its proper divisors (23972520).

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

11105880 is a wasteful number, since it uses less digits than its factorization.

11105880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

The square root of 11105880 is about 3332.5485742897. The cubic root of 11105880 is about 223.1092924156.

Adding to 11105880 its reverse (8850111), we get a palindrome (19955991).

The spelling of 11105880 in words is "eleven million, one hundred five thousand, eight hundred eighty".