106586085 has 16 divisors (see below), whose sum is σ = 175147776. Its totient is φ = 55309248.

The previous prime is 106586069. The next prime is 106586119. The reversal of 106586085 is 580685601.

It is not a de Polignac number, because 106586085 - 2⁴ = 106586069 is a prime.

It is a super-2 number, since 2×106586085² = 22721187031254450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95469 + ... + 96578.

It is an arithmetic number, because the mean of its divisors is an integer number (10946736).

Almost surely, 2^106586085 is an apocalyptic number.

106586085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106586085 is a deficient number, since it is larger than the sum of its proper divisors (68561691).

106586085 is a wasteful number, since it uses less digits than its factorization.

106586085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192092.

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 106586085 is about 10324.0537096627. The cubic root of 106586085 is about 474.1329853499.

The spelling of 106586085 in words is "one hundred six million, five hundred eighty-six thousand, eighty-five".