100585 has 4 divisors (see below), whose sum is σ = 120708. Its totient is φ = 80464.

The previous prime is 100559. The next prime is 100591. The reversal of 100585 is 585001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 72361 = 168^2 + 269^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100585 is a prime.

It is a Duffinian number.

100585 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10054 + ... + 10063.

It is an arithmetic number, because the mean of its divisors is an integer number (30177).

2¹⁰⁰⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

100585 is a deficient number, since it is larger than the sum of its proper divisors (20123).

100585 is an equidigital number, since it uses as much as digits as its factorization.

100585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20122.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 100585 is about 317.1513834118. The cubic root of 100585 is about 46.5062233934.

Adding to 100585 its reverse (585001), we get a palindrome (685586).

Subtracting 100585 from its reverse (585001), we obtain a square (484416 = 696²).

The spelling of 100585 in words is "one hundred thousand, five hundred eighty-five".