115519104 has 96 divisors (see below), whose sum is σ = 335146500. Its totient is φ = 38191104.

The previous prime is 115519081. The next prime is 115519111. The reversal of 115519104 is 401915511.

115519104 is a `hidden beast` number, since 1 + 1 + 551 + 9 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 10497600 = 10248^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171312 + ... + 171984.

Almost surely, 2^115519104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167573250).

115519104 is an abundant number, since it is smaller than the sum of its proper divisors (219627396).

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

115519104 is a wasteful number, since it uses less digits than its factorization.

115519104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The square root of 115519104 is about 10747.9813918708. The cubic root of 115519104 is about 487.0250174427.

The spelling of 115519104 in words is "one hundred fifteen million, five hundred nineteen thousand, one hundred four".