55104 has 56 divisors (see below), whose sum is σ = 170688. Its totient is φ = 15360.

The previous prime is 55103. The next prime is 55109. The reversal of 55104 is 40155.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1324 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (3048).

2⁵⁵¹⁰⁴ 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 55104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344).

55104 is an abundant number, since it is smaller than the sum of its proper divisors (115584).

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

55104 is a wasteful number, since it uses less digits than its factorization.

55104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 55104 is about 234.7424120179. The cubic root of 55104 is about 38.0534796396.

Adding to 55104 its reverse (40155), we get a palindrome (95259).

The spelling of 55104 in words is "fifty-five thousand, one hundred four".