11205000 has 160 divisors (see below), whose sum is σ = 39362400. Its totient is φ = 2952000.

The previous prime is 11204993. The next prime is 11205017. The reversal of 11205000 is 50211.

It is a happy number.

11205000 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 (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134959 + ... + 135041.

It is an arithmetic number, because the mean of its divisors is an integer number (246015).

Almost surely, 2^11205000 is an apocalyptic number.

11205000 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 11205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681200).

11205000 is an abundant number, since it is smaller than the sum of its proper divisors (28157400).

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

11205000 is an equidigital number, since it uses as much as digits as its factorization.

11205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 11205000 is about 3347.3870406632. The cubic root of 11205000 is about 223.7710777767.

Adding to 11205000 its reverse (50211), we get a palindrome (11255211).

The spelling of 11205000 in words is "eleven million, two hundred five thousand".