115506 has 40 divisors (see below), whose sum is σ = 278784. Its totient is φ = 35640.

The previous prime is 115499. The next prime is 115513. The reversal of 115506 is 605511.

It is an interprime number because it is at equal distance from previous prime (115499) and next prime (115513).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3711 + ... + 3741.

2¹¹⁵⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139392).

115506 is an abundant number, since it is smaller than the sum of its proper divisors (163278).

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

115506 is a wasteful number, since it uses less digits than its factorization.

115506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

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

The square root of 115506 is about 339.8617365930. The cubic root of 115506 is about 48.7006601392.

The spelling of 115506 in words is "one hundred fifteen thousand, five hundred six".