101585 has 8 divisors (see below), whose sum is σ = 133056. Its totient is φ = 73840.

The previous prime is 101581. The next prime is 101599. The reversal of 101585 is 585101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101585 - 2² = 101581 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101585.

It is not an unprimeable number, because it can be changed into a prime (101581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 869 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2¹⁰¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

101585 is a deficient number, since it is larger than the sum of its proper divisors (31471).

101585 is a wasteful number, since it uses less digits than its factorization.

101585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863.

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 101585 is about 318.7240185490. The cubic root of 101585 is about 46.6598346007.

Adding to 101585 its reverse (585101), we get a palindrome (686686).

It can be divided in two parts, 101 and 585, that added together give a palindrome (686).

The spelling of 101585 in words is "one hundred one thousand, five hundred eighty-five".