105035530041 has 24 divisors (see below), whose sum is σ = 169022697480. Its totient is φ = 62408376576.

The previous prime is 105035530001. The next prime is 105035530049. The reversal of 105035530041 is 140035530501.

105035530041 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 355 + 300 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1740141225 + 103295388816 = 41715^2 + 321396^2 .

It is not a de Polignac number, because 105035530041 - 2¹⁰ = 105035529017 is a prime.

It is a super-2 number, since 2×105035530041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105035529987 and 105035530014.

It is not an unprimeable number, because it can be changed into a prime (105035530049) 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, 15474876 + ... + 15481661.

It is an arithmetic number, because the mean of its divisors is an integer number (7042612395).

Almost surely, 2^105035530041 is an apocalyptic number.

It is an amenable number.

105035530041 is a deficient number, since it is larger than the sum of its proper divisors (63987167439).

105035530041 is a wasteful number, since it uses less digits than its factorization.

105035530041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30956585 (or 30956582 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 105035530041 in words is "one hundred five billion, thirty-five million, five hundred thirty thousand, forty-one".