11005120 has 112 divisors (see below), whose sum is σ = 31821120. Its totient is φ = 3551232.

The previous prime is 11005091. The next prime is 11005151. The reversal of 11005120 is 2150011.

It is a happy number.

11005120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11005120² = 242225332428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11005097 and 11005106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647352 + ... + 647368.

Almost surely, 2^11005120 is an apocalyptic number.

11005120 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 11005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910560).

11005120 is an abundant number, since it is smaller than the sum of its proper divisors (20816000).

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

11005120 is an frugal number, since it uses more digits than its factorization.

11005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 11005120 is about 3317.3965696009. The cubic root of 11005120 is about 222.4325090928.

Adding to 11005120 its reverse (2150011), we get a palindrome (13155131).

The spelling of 11005120 in words is "eleven million, five thousand, one hundred twenty".