115056 has 60 divisors (see below), whose sum is σ = 348192. Its totient is φ = 35328.

The previous prime is 115021. The next prime is 115057. The reversal of 115056 is 650511.

115056 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115057) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2425 + ... + 2471.

2¹¹⁵⁰⁵⁶ is an apocalyptic number.

115056 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 115056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096).

115056 is an abundant number, since it is smaller than the sum of its proper divisors (233136).

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

115056 is a wasteful number, since it uses less digits than its factorization.

115056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 115056 is about 339.1990566025. The cubic root of 115056 is about 48.6373335046.

Adding to 115056 its reverse (650511), we get a palindrome (765567).

It can be divided in two parts, 11505 and 6, that added together give a palindrome (11511).

The spelling of 115056 in words is "one hundred fifteen thousand, fifty-six".