105000561106 has 12 divisors (see below), whose sum is σ = 183215264958. Its totient is φ = 45000240432.

The previous prime is 105000561103. The next prime is 105000561143. The reversal of 105000561106 is 601165000501.

It can be written as a sum of positive squares in only one way, i.e., 72016552881 + 32984008225 = 268359^2 + 181615^2 .

It is a super-3 number, since 3×105000561106³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105000561103) 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 5 ways as a sum of consecutive naturals, for example, 535717051 + ... + 535717246.

Almost surely, 2^105000561106 is an apocalyptic number.

105000561106 is a deficient number, since it is larger than the sum of its proper divisors (78214703852).

105000561106 is a wasteful number, since it uses less digits than its factorization.

105000561106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071434313 (or 1071434306 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 105000561106 its reverse (601165000501), we get a palindrome (706165561607).

It can be divided in two parts, 1050005 and 61106, that added together give a palindrome (1111111).

The spelling of 105000561106 in words is "one hundred five billion, five hundred sixty-one thousand, one hundred six".