1050105610105 has 16 divisors (see below), whose sum is σ = 1268237376720. Its totient is φ = 834678104832.

The previous prime is 1050105610051. The next prime is 1050105610117. The reversal of 1050105610105 is 5010165010501.

It can be written as a sum of positive squares in 8 ways, for example, as 555543641104 + 494561969001 = 745348^2 + 703251^2 .

It is a cyclic number.

It is not a de Polignac number, because 1050105610105 - 2¹⁵ = 1050105577337 is a prime.

It is a super-2 number, since 2×1050105610105² (a number of 25 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1050105610105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15003331 + ... + 15073159.

It is an arithmetic number, because the mean of its divisors is an integer number (79264836045).

Almost surely, 2^{1050105610105} is an apocalyptic number.

It is an amenable number.

1050105610105 is a deficient number, since it is larger than the sum of its proper divisors (218131766615).

1050105610105 is a wasteful number, since it uses less digits than its factorization.

1050105610105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89148.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 1050105610105 in words is "one trillion, fifty billion, one hundred five million, six hundred ten thousand, one hundred five".