104805 has 24 divisors (see below), whose sum is σ = 193752. Its totient is φ = 52224.

The previous prime is 104803. The next prime is 104827. The reversal of 104805 is 508401.

It can be written as a sum of positive squares in 4 ways, for example, as 25281 + 79524 = 159^2 + 282^2 .

It is not a de Polignac number, because 104805 - 2¹ = 104803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (8073).

2¹⁰⁴⁸⁰⁵ is an apocalyptic number.

104805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104805 is a deficient number, since it is larger than the sum of its proper divisors (88947).

104805 is a wasteful number, since it uses less digits than its factorization.

104805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

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

The square root of 104805 is about 323.7360035585. The cubic root of 104805 is about 47.1477169331.

It can be divided in two parts, 104 and 805, that added together give a palindrome (909).

The spelling of 104805 in words is "one hundred four thousand, eight hundred five".