11105640 has 256 divisors, whose sum is σ = 45964800. Its totient is φ = 2322432.

The previous prime is 11105609. The next prime is 11105651. The reversal of 11105640 is 4650111.

11105640 is a `hidden beast` number, since 11 + 10 + 5 + 640 = 666.

11105640 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98224 + ... + 98336.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^11105640 is an apocalyptic number.

11105640 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 11105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

11105640 is an abundant number, since it is smaller than the sum of its proper divisors (34859160).

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

11105640 is a wasteful number, since it uses less digits than its factorization.

11105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11105640 is about 3332.5125656177. The cubic root of 11105640 is about 223.1076852604.

Adding to 11105640 its reverse (4650111), we get a palindrome (15755751).

The spelling of 11105640 in words is "eleven million, one hundred five thousand, six hundred forty".