115434200 has 72 divisors (see below), whose sum is σ = 312228900. Its totient is φ = 39574080.

The previous prime is 115434197. The next prime is 115434203. The reversal of 115434200 is 2434511.

It is an interprime number because it is at equal distance from previous prime (115434197) and next prime (115434203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115434203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3911 + ... + 15689.

Almost surely, 2^115434200 is an apocalyptic number.

115434200 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 115434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156114450).

115434200 is an abundant number, since it is smaller than the sum of its proper divisors (196794700).

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

115434200 is a wasteful number, since it uses less digits than its factorization.

115434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11793 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 115434200 is about 10744.0309009235. The cubic root of 115434200 is about 486.9056706411.

Adding to 115434200 its reverse (2434511), we get a palindrome (117868711).

The spelling of 115434200 in words is "one hundred fifteen million, four hundred thirty-four thousand, two hundred".