115506045 has 48 divisors (see below), whose sum is σ = 207325872. Its totient is φ = 59443200.

The previous prime is 115506029. The next prime is 115506047. The reversal of 115506045 is 540605511.

It is a happy number.

115506045 is a `hidden beast` number, since 1 + 1 + 5 + 50 + 604 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52446564 + 63059481 = 7242^2 + 7941^2 .

It is not a de Polignac number, because 115506045 - 2⁴ = 115506029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115506047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287845 + ... + 288245.

It is an arithmetic number, because the mean of its divisors is an integer number (4319289).

Almost surely, 2^115506045 is an apocalyptic number.

115506045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115506045 is a deficient number, since it is larger than the sum of its proper divisors (91819827).

115506045 is a wasteful number, since it uses less digits than its factorization.

115506045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 115506045 is about 10747.3738652752. The cubic root of 115506045 is about 487.0066646359.

The spelling of 115506045 in words is "one hundred fifteen million, five hundred six thousand, forty-five".