11105820 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2620800.

The previous prime is 11105807. The next prime is 11105827. The reversal of 11105820 is 2850111.

11105820 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 junction number, because it is equal to n+sod(n) for n = 11105793 and 11105802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140541 + ... + 140619.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^11105820 is an apocalyptic number.

11105820 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 11105820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11105820 is an abundant number, since it is smaller than the sum of its proper divisors (26633700).

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

11105820 is a wasteful number, since it uses less digits than its factorization.

11105820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11105820 is about 3332.5395721581. The cubic root of 11105820 is about 223.1088906290.

Adding to 11105820 its reverse (2850111), we get a palindrome (13955931).

The spelling of 11105820 in words is "eleven million, one hundred five thousand, eight hundred twenty".