115104 has 48 divisors (see below), whose sum is σ = 332640. Its totient is φ = 34560.

The previous prime is 115099. The next prime is 115117. The reversal of 115104 is 401511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 115104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2¹¹⁵¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

115104 is an abundant number, since it is smaller than the sum of its proper divisors (217536).

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

115104 is a wasteful number, since it uses less digits than its factorization.

115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 115104 is about 339.2698041382. The cubic root of 115104 is about 48.6440962040.

Adding to 115104 its reverse (401511), we get a palindrome (516615).

It can be divided in two parts, 11 and 5104, that added together give a palindrome (5115).

The spelling of 115104 in words is "one hundred fifteen thousand, one hundred four".