105105550345 has 16 divisors (see below), whose sum is σ = 126491011920. Its totient is φ = 83841848064.

The previous prime is 105105550343. The next prime is 105105550373. The reversal of 105105550345 is 543055501501.

It can be written as a sum of positive squares in 8 ways, for example, as 12691374336 + 92414176009 = 112656^2 + 303997^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105550345 - 2¹ = 105105550343 is a prime.

It is a super-2 number, since 2×105105550345² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105105550345.

It is not an unprimeable number, because it can be changed into a prime (105105550343) 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 15 ways as a sum of consecutive naturals, for example, 2824279 + ... + 2861251.

It is an arithmetic number, because the mean of its divisors is an integer number (7905688245).

Almost surely, 2^105105550345 is an apocalyptic number.

It is an amenable number.

105105550345 is a deficient number, since it is larger than the sum of its proper divisors (21385461575).

105105550345 is a wasteful number, since it uses less digits than its factorization.

105105550345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38604.

The product of its (nonzero) digits is 37500, while the sum is 34.

The spelling of 105105550345 in words is "one hundred five billion, one hundred five million, five hundred fifty thousand, three hundred forty-five".