105206 has 8 divisors (see below), whose sum is σ = 161784. Its totient is φ = 51280.

The previous prime is 105199. The next prime is 105211. The reversal of 105206 is 602501.

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

It is a super-2 number, since 2×105206² = 22136604872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

105206 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 560 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (20223).

2¹⁰⁵²⁰⁶ is an apocalyptic number.

105206 is a deficient number, since it is larger than the sum of its proper divisors (56578).

105206 is a wasteful number, since it uses less digits than its factorization.

105206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105206 is about 324.3547440689. The cubic root of 105206 is about 47.2077718697.

Adding to 105206 its reverse (602501), we get a palindrome (707707).

The spelling of 105206 in words is "one hundred five thousand, two hundred six".