105000561105 has 32 divisors (see below), whose sum is σ = 184060356480. Its totient is φ = 50690849280.

The previous prime is 105000561103. The next prime is 105000561143. The reversal of 105000561105 is 501165000501.

It is not a de Polignac number, because 105000561105 - 2¹ = 105000561103 is a prime.

It is a super-2 number, since 2×105000561105² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1327150 + ... + 1404039.

It is an arithmetic number, because the mean of its divisors is an integer number (5751886140).

Almost surely, 2^105000561105 is an apocalyptic number.

105000561105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105000561105 is a deficient number, since it is larger than the sum of its proper divisors (79059795375).

105000561105 is a wasteful number, since it uses less digits than its factorization.

105000561105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731441.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105000561105 its reverse (501165000501), we get a palindrome (606165561606).

The spelling of 105000561105 in words is "one hundred five billion, five hundred sixty-one thousand, one hundred five".