11105248 has 48 divisors (see below), whose sum is σ = 27264384. Its totient is φ = 4325760.

The previous prime is 11105243. The next prime is 11105257. The reversal of 11105248 is 84250111.

11105248 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 4717.

It is an arithmetic number, because the mean of its divisors is an integer number (568008).

Almost surely, 2^11105248 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 11105248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632192).

11105248 is an abundant number, since it is smaller than the sum of its proper divisors (16159136).

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

11105248 is a wasteful number, since it uses less digits than its factorization.

11105248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 11105248 is about 3332.4537506168. The cubic root of 11105248 is about 223.1050601906.

Adding to 11105248 its reverse (84250111), we get a palindrome (95355359).

The spelling of 11105248 in words is "eleven million, one hundred five thousand, two hundred forty-eight".