11105760 has 96 divisors (see below), whose sum is σ = 37068192. Its totient is φ = 2785280.

The previous prime is 11105729. The next prime is 11105767. The reversal of 11105760 is 6750111.

11105760 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105767) 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, 7480 + ... + 8840.

It is an arithmetic number, because the mean of its divisors is an integer number (386127).

Almost surely, 2^11105760 is an apocalyptic number.

11105760 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 11105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534096).

11105760 is an abundant number, since it is smaller than the sum of its proper divisors (25962432).

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

11105760 is a wasteful number, since it uses less digits than its factorization.

11105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 11105760 is about 3332.5305700023. The cubic root of 11105760 is about 223.1084888409.

Adding to 11105760 its reverse (6750111), we get a palindrome (17855871).

The spelling of 11105760 in words is "eleven million, one hundred five thousand, seven hundred sixty".