211104 has 36 divisors (see below), whose sum is σ = 601146. Its totient is φ = 70272.

The previous prime is 211097. The next prime is 211129. The reversal of 211104 is 401112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 90000 = 348^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is an unprimeable number.

211104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79 + ... + 654.

2²¹¹¹⁰⁴ is an apocalyptic number.

211104 is a gapful number since it is divisible by the number (24) 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 211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300573).

211104 is an abundant number, since it is smaller than the sum of its proper divisors (390042).

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

211104 is a wasteful number, since it uses less digits than its factorization.

211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211104 is about 459.4605532578. The cubic root of 211104 is about 59.5431976867.

Adding to 211104 its reverse (401112), we get a palindrome (612216).

The spelling of 211104 in words is "two hundred eleven thousand, one hundred four", and thus it is an iban number.