104544 has 72 divisors (see below), whose sum is σ = 335160. Its totient is φ = 31680.

The previous prime is 104543. The next prime is 104549. The reversal of 104544 is 445401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9499 + ... + 9509.

It is an arithmetic number, because the mean of its divisors is an integer number (4655).

2¹⁰⁴⁵⁴⁴ 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 104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167580).

104544 is an abundant number, since it is smaller than the sum of its proper divisors (230616).

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

104544 is a wasteful number, since it uses less digits than its factorization.

104544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 104544 is about 323.3326460474. The cubic root of 104544 is about 47.1085464632.

Adding to 104544 its reverse (445401), we get a palindrome (549945).

It can be divided in two parts, 1045 and 44, that added together give a square (1089 = 33²).

The spelling of 104544 in words is "one hundred four thousand, five hundred forty-four".