115210368 has 288 divisors, whose sum is σ = 417968460. Its totient is φ = 30191616.

The previous prime is 115210363. The next prime is 115210379. The reversal of 115210368 is 863012511.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 10188864 = 10248^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (288).

115210368 is a modest number, since divided by 10368 gives 1152 as remainder.

It is not an unprimeable number, because it can be changed into a prime (115210363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733746 + ... + 733902.

Almost surely, 2^115210368 is an apocalyptic number.

115210368 is a gapful number since it is divisible by the number (18) 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 115210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208984230).

115210368 is an abundant number, since it is smaller than the sum of its proper divisors (302758092).

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

115210368 is a wasteful number, since it uses less digits than its factorization.

115210368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 115210368 is about 10733.6092718153. The cubic root of 115210368 is about 486.5907564928.

Adding to 115210368 its reverse (863012511), we get a palindrome (978222879).

It can be divided in two parts, 1152 and 10368, that multiplied together give a square (11943936 = 3456²).

The spelling of 115210368 in words is "one hundred fifteen million, two hundred ten thousand, three hundred sixty-eight".