58104 has 32 divisors (see below), whose sum is σ = 162000. Its totient is φ = 19296.

The previous prime is 58099. The next prime is 58109. The reversal of 58104 is 40185.

It is an interprime number because it is at equal distance from previous prime (58099) and next prime (58109).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58104.

It is not an unprimeable number, because it can be changed into a prime (58109) by changing a digit.

58104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 350.

2⁵⁸¹⁰⁴ is an apocalyptic number.

58104 is a gapful number since it is divisible by the number (54) 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 58104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81000).

58104 is an abundant number, since it is smaller than the sum of its proper divisors (103896).

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

58104 is a wasteful number, since it uses less digits than its factorization.

58104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 58104 is about 241.0477131192. The cubic root of 58104 is about 38.7318888656.

Adding to 58104 its reverse (40185), we get a palindrome (98289).

The spelling of 58104 in words is "fifty-eight thousand, one hundred four".