106586 has 8 divisors (see below), whose sum is σ = 161460. Its totient is φ = 52768.

The previous prime is 106543. The next prime is 106591. The reversal of 106586 is 685601.

It can be written as a sum of positive squares in 2 ways, for example, as 105625 + 961 = 325^2 + 31^2 .

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

It is a super-2 number, since 2×106586² = 22721150792, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 468.

2¹⁰⁶⁵⁸⁶ is an apocalyptic number.

106586 is a deficient number, since it is larger than the sum of its proper divisors (54874).

106586 is a wasteful number, since it uses less digits than its factorization.

106586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 106586 is about 326.4751139061. The cubic root of 106586 is about 47.4132859313.

The spelling of 106586 in words is "one hundred six thousand, five hundred eighty-six".