100009585 has 8 divisors (see below), whose sum is σ = 129243240. Its totient is φ = 73853184.

The previous prime is 100009573. The next prime is 100009607. The reversal of 100009585 is 585900001.

It can be written as a sum of positive squares in 4 ways, for example, as 13593969 + 86415616 = 3687^2 + 9296^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100009585 - 2¹⁵ = 99976817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769240 + ... + 769369.

It is an arithmetic number, because the mean of its divisors is an integer number (16155405).

Almost surely, 2^100009585 is an apocalyptic number.

It is an amenable number.

100009585 is a deficient number, since it is larger than the sum of its proper divisors (29233655).

100009585 is a wasteful number, since it uses less digits than its factorization.

100009585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538627.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 100009585 is about 10000.4792385165. The cubic root of 100009585 is about 464.1737127638.

Adding to 100009585 its reverse (585900001), we get a palindrome (685909586).

The spelling of 100009585 in words is "one hundred million, nine thousand, five hundred eighty-five".