115105536 has 360 divisors, whose sum is σ = 429354464. Its totient is φ = 29859840.

The previous prime is 115105517. The next prime is 115105541. The reversal of 115105536 is 635501511.

115105536 is a `hidden beast` number, since 115 + 10 + 5 + 536 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1886946 + ... + 1887006.

Almost surely, 2^115105536 is an apocalyptic number.

115105536 is a gapful number since it is divisible by the number (16) 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 115105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214677232).

115105536 is an abundant number, since it is smaller than the sum of its proper divisors (314248928).

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

115105536 is an equidigital number, since it uses as much as digits as its factorization.

115105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 115105536 is about 10728.7248077299. The cubic root of 115105536 is about 486.4431257930.

The spelling of 115105536 in words is "one hundred fifteen million, one hundred five thousand, five hundred thirty-six".