115216 has 20 divisors (see below), whose sum is σ = 235600. Its totient is φ = 54432.

The previous prime is 115211. The next prime is 115223. The reversal of 115216 is 612511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 115216.

It is not an unprimeable number, because it can be changed into a prime (115211) by changing a digit.

115216 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (11780).

2¹¹⁵²¹⁶ is an apocalyptic number.

115216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117800).

115216 is an abundant number, since it is smaller than the sum of its proper divisors (120384).

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

115216 is a wasteful number, since it uses less digits than its factorization.

115216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its digits is 60, while the sum is 16.

The square root of 115216 is about 339.4348243772. The cubic root of 115216 is about 48.6598685277.

Adding to 115216 its reverse (612511), we get a palindrome (727727).

The spelling of 115216 in words is "one hundred fifteen thousand, two hundred sixteen".