213104000 has 128 divisors (see below), whose sum is σ = 558511200. Its totient is φ = 80640000.

The previous prime is 213103999. The next prime is 213104033. The reversal of 213104000 is 401312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303650 + ... + 304350.

Almost surely, 2^213104000 is an apocalyptic number.

213104000 is a gapful number since it is divisible by the number (20) 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 213104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279255600).

213104000 is an abundant number, since it is smaller than the sum of its proper divisors (345407200).

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

213104000 is an equidigital number, since it uses as much as digits as its factorization.

213104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 213104000 is about 14598.0820658058. The cubic root of 213104000 is about 597.3064445450.

Adding to 213104000 its reverse (401312), we get a palindrome (213505312).

The spelling of 213104000 in words is "two hundred thirteen million, one hundred four thousand".