115206 has 32 divisors (see below), whose sum is σ = 284928. Its totient is φ = 30240.

The previous prime is 115201. The next prime is 115211. The reversal of 115206 is 602511.

It is an interprime number because it is at equal distance from previous prime (115201) and next prime (115211).

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 115206.

It is not an unprimeable number, because it can be changed into a prime (115201) by changing a digit.

115206 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (8904).

2¹¹⁵²⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142464).

115206 is an abundant number, since it is smaller than the sum of its proper divisors (169722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115206 is a wasteful number, since it uses less digits than its factorization.

115206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 115206 is about 339.4200936892. The cubic root of 115206 is about 48.6584607002.

Adding to 115206 its reverse (602511), we get a palindrome (717717).

The spelling of 115206 in words is "one hundred fifteen thousand, two hundred six".