104364 has 36 divisors (see below), whose sum is σ = 285376. Its totient is φ = 31968.

The previous prime is 104347. The next prime is 104369. The reversal of 104364 is 463401.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 104364.

It is not an unprimeable number, because it can be changed into a prime (104369) 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, 357 + ... + 579.

2¹⁰⁴³⁶⁴ 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 104364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142688).

104364 is an abundant number, since it is smaller than the sum of its proper divisors (181012).

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

104364 is a wasteful number, since it uses less digits than its factorization.

104364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 104364 is about 323.0541750233. The cubic root of 104364 is about 47.0814943461.

Adding to 104364 its reverse (463401), we get a palindrome (567765).

It can be divided in two parts, 10436 and 4, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 104364 in words is "one hundred four thousand, three hundred sixty-four".