106205 has 8 divisors (see below), whose sum is σ = 139104. Its totient is φ = 77200.

The previous prime is 106189. The next prime is 106207. The reversal of 106205 is 502601.

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

It is not a de Polignac number, because 106205 - 2⁴ = 106189 is a prime.

It is a super-2 number, since 2×106205² = 22559004050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106205.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106205.

It is not an unprimeable number, because it can be changed into a prime (106207) 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, 911 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (17388).

2¹⁰⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

106205 is a deficient number, since it is larger than the sum of its proper divisors (32899).

106205 is a wasteful number, since it uses less digits than its factorization.

106205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947.

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

The square root of 106205 is about 325.8910861009. The cubic root of 106205 is about 47.3567243158.

Adding to 106205 its reverse (502601), we get a palindrome (608806).

The spelling of 106205 in words is "one hundred six thousand, two hundred five".