115010541 has 24 divisors (see below), whose sum is σ = 171929784. Its totient is φ = 74027520.

The previous prime is 115010531. The next prime is 115010563. The reversal of 115010541 is 145010511.

It is a happy number.

115010541 is a `hidden beast` number, since 115 + 0 + 10 + 541 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9126441 + 105884100 = 3021^2 + 10290^2 .

It is not a de Polignac number, because 115010541 - 2¹⁸ = 114748397 is a prime.

It is a super-2 number, since 2×115010541² = 26454849082225362, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115010501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44361 + ... + 46881.

It is an arithmetic number, because the mean of its divisors is an integer number (7163741).

Almost surely, 2^115010541 is an apocalyptic number.

It is an amenable number.

115010541 is a deficient number, since it is larger than the sum of its proper divisors (56919243).

115010541 is a wasteful number, since it uses less digits than its factorization.

115010541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 115010541 is about 10724.2967601610. The cubic root of 115010541 is about 486.3092707117.

The spelling of 115010541 in words is "one hundred fifteen million, ten thousand, five hundred forty-one".