11083104 has 72 divisors (see below), whose sum is σ = 32628960. Its totient is φ = 3564288.

The previous prime is 11083103. The next prime is 11083139. The reversal of 11083104 is 40138011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11083103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7689 + ... + 9015.

It is an arithmetic number, because the mean of its divisors is an integer number (453180).

Almost surely, 2^11083104 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 11083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314480).

11083104 is an abundant number, since it is smaller than the sum of its proper divisors (21545856).

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

11083104 is a wasteful number, since it uses less digits than its factorization.

11083104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11083104 is about 3329.1296159807. The cubic root of 11083104 is about 222.9566701123.

The spelling of 11083104 in words is "eleven million, eighty-three thousand, one hundred four".