11105000 has 40 divisors (see below), whose sum is σ = 26030730. Its totient is φ = 4440000.

The previous prime is 11104997. The next prime is 11105009. The reversal of 11105000 is 50111.

It is a happy number.

11105000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 438244 + 10666756 = 662^2 + 3266^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11105009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3890 + ... + 6110.

Almost surely, 2^11105000 is an apocalyptic number.

11105000 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 11105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015365).

11105000 is an abundant number, since it is smaller than the sum of its proper divisors (14925730).

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

11105000 is an equidigital number, since it uses as much as digits as its factorization.

11105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 11105000 is about 3332.4165405903. The cubic root of 11105000 is about 223.1033994002.

Adding to 11105000 its reverse (50111), we get a palindrome (11155111).

The spelling of 11105000 in words is "eleven million, one hundred five thousand".