115805088 has 288 divisors, whose sum is σ = 415134720. Its totient is φ = 29859840.

The previous prime is 115805087. The next prime is 115805089. The reversal of 115805088 is 880508511.

It is an interprime number because it is at equal distance from previous prime (115805087) and next prime (115805089).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115805087) 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 47 ways as a sum of consecutive naturals, for example, 1062378 + ... + 1062486.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^115805088 is an apocalyptic number.

115805088 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 115805088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

115805088 is an abundant number, since it is smaller than the sum of its proper divisors (299329632).

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

115805088 is a wasteful number, since it uses less digits than its factorization.

115805088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 115805088 is about 10761.2772476133. The cubic root of 115805088 is about 487.4265861836.

The spelling of 115805088 in words is "one hundred fifteen million, eight hundred five thousand, eighty-eight".