105284785041 has 40 divisors (see below), whose sum is σ = 163014805800. Its totient is φ = 67638654720.

The previous prime is 105284785009. The next prime is 105284785051. The reversal of 105284785041 is 140587482501.

105284785041 is a `hidden beast` number, since 1 + 0 + 528 + 4 + 7 + 85 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11202105600 + 94082679441 = 105840^2 + 306729^2 .

It is not a de Polignac number, because 105284785041 - 2⁵ = 105284785009 is a prime.

It is a super-2 number, since 2×105284785041² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105284785051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1180815 + ... + 1266843.

It is an arithmetic number, because the mean of its divisors is an integer number (4075370145).

Almost surely, 2^105284785041 is an apocalyptic number.

It is an amenable number.

105284785041 is a deficient number, since it is larger than the sum of its proper divisors (57730020759).

105284785041 is an equidigital number, since it uses as much as digits as its factorization.

105284785041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86591 (or 86582 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 105284785041 in words is "one hundred five billion, two hundred eighty-four million, seven hundred eighty-five thousand, forty-one".