102013585 has 4 divisors (see below), whose sum is σ = 122416308. Its totient is φ = 81610864.

The previous prime is 102013577. The next prime is 102013589. The reversal of 102013585 is 585310201.

It is a happy number.

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 62663056 + 39350529 = 7916^2 + 6273^2 .

It is a cyclic number.

It is not a de Polignac number, because 102013585 - 2³ = 102013577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102013589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10201354 + ... + 10201363.

It is an arithmetic number, because the mean of its divisors is an integer number (30604077).

Almost surely, 2^102013585 is an apocalyptic number.

It is an amenable number.

102013585 is a deficient number, since it is larger than the sum of its proper divisors (20402723).

102013585 is an equidigital number, since it uses as much as digits as its factorization.

102013585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20402722.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 102013585 is about 10100.1774736883. The cubic root of 102013585 is about 467.2536149166.

Adding to 102013585 its reverse (585310201), we get a palindrome (687323786).

The spelling of 102013585 in words is "one hundred two million, thirteen thousand, five hundred eighty-five".