106564585 has 8 divisors (see below), whose sum is σ = 135399816. Its totient is φ = 80236800.

The previous prime is 106564583. The next prime is 106564643. The reversal of 106564585 is 585465601.

It can be written as a sum of positive squares in 4 ways, for example, as 2442969 + 104121616 = 1563^2 + 10204^2 .

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

It is not a de Polignac number, because 106564585 - 2¹ = 106564583 is a prime.

It is a super-2 number, since 2×106564585² = 22712021552444450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106564583) 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, 626766 + ... + 626935.

It is an arithmetic number, because the mean of its divisors is an integer number (16924977).

Almost surely, 2^106564585 is an apocalyptic number.

It is an amenable number.

106564585 is a deficient number, since it is larger than the sum of its proper divisors (28835231).

106564585 is a wasteful number, since it uses less digits than its factorization.

106564585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253723.

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 106564585 is about 10323.0123994888. The cubic root of 106564585 is about 474.1011033124.

The spelling of 106564585 in words is "one hundred six million, five hundred sixty-four thousand, five hundred eighty-five".