115905600 has 168 divisors, whose sum is σ = 422676320. Its totient is φ = 30896640.

The previous prime is 115905593. The next prime is 115905607. The reversal of 115905600 is 6509511.

115905600 is a `hidden beast` number, since 1 + 1 + 59 + 0 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (115905593) and next prime (115905607).

It is a super-3 number, since 3×115905600³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115905607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41859 + ... + 44541.

Almost surely, 2^115905600 is an apocalyptic number.

115905600 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 115905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211338160).

115905600 is an abundant number, since it is smaller than the sum of its proper divisors (306770720).

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

115905600 is a wasteful number, since it uses less digits than its factorization.

115905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 115905600 is about 10765.9463123313. The cubic root of 115905600 is about 487.5675646000.

The spelling of 115905600 in words is "one hundred fifteen million, nine hundred five thousand, six hundred".