115523200 has 96 divisors (see below), whose sum is σ = 307441260. Its totient is φ = 42639360.

The previous prime is 115523197. The next prime is 115523207. The reversal of 115523200 is 2325511.

It can be written as a sum of positive squares in 6 ways, for example, as 7529536 + 107993664 = 2744^2 + 10392^2 .

It is not an unprimeable number, because it can be changed into a prime (115523207) 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 11 ways as a sum of consecutive naturals, for example, 40212 + ... + 42988.

Almost surely, 2^115523200 is an apocalyptic number.

115523200 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 115523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153720630).

115523200 is an abundant number, since it is smaller than the sum of its proper divisors (191918060).

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

115523200 is a wasteful number, since it uses less digits than its factorization.

115523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 115523200 is about 10748.1719375901. The cubic root of 115523200 is about 487.0307735783.

Adding to 115523200 its reverse (2325511), we get a palindrome (117848711).

It can be divided in two parts, 11552 and 3200, that multiplied together give a square (36966400 = 6080²).

The spelling of 115523200 in words is "one hundred fifteen million, five hundred twenty-three thousand, two hundred".