115505000 has 80 divisors (see below), whose sum is σ = 291609780. Its totient is φ = 42624000.

The previous prime is 115504997. The next prime is 115505003. The reversal of 115505000 is 505511.

It is an interprime number because it is at equal distance from previous prime (115504997) and next prime (115505003).

It can be written as a sum of positive squares in 10 ways, for example, as 24226084 + 91278916 = 4922^2 + 9554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115505000.

It is not an unprimeable number, because it can be changed into a prime (115505003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64112 + ... + 65888.

Almost surely, 2^115505000 is an apocalyptic number.

115505000 is a gapful number since it is divisible by the number (10) 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 115505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145804890).

115505000 is an abundant number, since it is smaller than the sum of its proper divisors (176104780).

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

115505000 is a wasteful number, since it uses less digits than its factorization.

115505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 115505000 is about 10747.3252486374. The cubic root of 115505000 is about 487.0051959581.

The spelling of 115505000 in words is "one hundred fifteen million, five hundred five thousand".