19104 has 24 divisors (see below), whose sum is σ = 50400. Its totient is φ = 6336.

The previous prime is 19087. The next prime is 19121. The reversal of 19104 is 40191.

19104 = 42² + 43² + ... + 50².

It is an interprime number because it is at equal distance from previous prime (19087) and next prime (19121).

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

19104 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2¹⁹¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

19104 is an abundant number, since it is smaller than the sum of its proper divisors (31296).

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

19104 is a wasteful number, since it uses less digits than its factorization.

19104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 19104 is about 138.2172203454. The cubic root of 19104 is about 26.7326145512.

Adding to 19104 its reverse (40191), we get a palindrome (59295).

The spelling of 19104 in words is "nineteen thousand, one hundred four".