104724 has 18 divisors (see below), whose sum is σ = 264810. Its totient is φ = 34896.

The previous prime is 104723. The next prime is 104729. The reversal of 104724 is 427401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 3600 = 318^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 104697 and 104706.

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 104724.

It is not an unprimeable number, because it can be changed into a prime (104723) 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 5 ways as a sum of consecutive naturals, for example, 1419 + ... + 1490.

2¹⁰⁴⁷²⁴ is an apocalyptic number.

It is an amenable number.

104724 is an abundant number, since it is smaller than the sum of its proper divisors (160086).

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

104724 is a wasteful number, since it uses less digits than its factorization.

104724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 104724 is about 323.6108774439. The cubic root of 104724 is about 47.1355675466.

It can be divided in two parts, 104 and 724, that added together give a palindrome (828).

The spelling of 104724 in words is "one hundred four thousand, seven hundred twenty-four", and thus it is an iban number.