115812900 has 216 divisors, whose sum is σ = 428972544. Its totient is φ = 25574400.

The previous prime is 115812899. The next prime is 115812901. The reversal of 115812900 is 9218511.

It is an interprime number because it is at equal distance from previous prime (115812899) and next prime (115812901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115812901) 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 71 ways as a sum of consecutive naturals, for example, 195004 + ... + 195596.

It is an arithmetic number, because the mean of its divisors is an integer number (1985984).

Almost surely, 2^115812900 is an apocalyptic number.

115812900 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 115812900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

115812900 is an abundant number, since it is smaller than the sum of its proper divisors (313159644).

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

115812900 is a wasteful number, since it uses less digits than its factorization.

115812900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 115812900 is about 10761.6402095591. The cubic root of 115812900 is about 487.4375462400.

The spelling of 115812900 in words is "one hundred fifteen million, eight hundred twelve thousand, nine hundred".