115845800 has 72 divisors (see below), whose sum is σ = 313342110. Its totient is φ = 39715200.

The previous prime is 115845799. The next prime is 115845809. The reversal of 115845800 is 8548511.

It can be written as a sum of positive squares in 3 ways, for example, as 63457156 + 52388644 = 7966^2 + 7238^2 .

It is not an unprimeable number, because it can be changed into a prime (115845809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3890 + ... + 15710.

Almost surely, 2^115845800 is an apocalyptic number.

115845800 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 115845800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156671055).

115845800 is an abundant number, since it is smaller than the sum of its proper divisors (197496310).

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

115845800 is a wasteful number, since it uses less digits than its factorization.

115845800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 115845800 is about 10763.1686784144. The cubic root of 115845800 is about 487.4836987755.

The spelling of 115845800 in words is "one hundred fifteen million, eight hundred forty-five thousand, eight hundred".