104864 has 24 divisors (see below), whose sum is σ = 215460. Its totient is φ = 50176.

The previous prime is 104851. The next prime is 104869. The reversal of 104864 is 468401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 10000 = 308^2 + 100^2 .

It is not an unprimeable number, because it can be changed into a prime (104869) 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 3 ways as a sum of consecutive naturals, for example, 872 + ... + 984.

2¹⁰⁴⁸⁶⁴ 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 104864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107730).

104864 is an abundant number, since it is smaller than the sum of its proper divisors (110596).

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

104864 is a wasteful number, since it uses less digits than its factorization.

104864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 104864 is about 323.8271143681. The cubic root of 104864 is about 47.1565625463.

The spelling of 104864 in words is "one hundred four thousand, eight hundred sixty-four".