115038 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 29520.

The previous prime is 115021. The next prime is 115057. The reversal of 115038 is 830511.

It is a happy number.

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

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 115038.

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 115038.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2¹¹⁵⁰³⁸ is an apocalyptic number.

115038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

115038 is an abundant number, since it is smaller than the sum of its proper divisors (199458).

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

115038 is a wasteful number, since it uses less digits than its factorization.

115038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 115038 is about 339.1725224720. The cubic root of 115038 is about 48.6347970074.

Adding to 115038 its reverse (830511), we get a palindrome (945549).

It can be divided in two parts, 11503 and 8, that added together give a palindrome (11511).

The spelling of 115038 in words is "one hundred fifteen thousand, thirty-eight".