105506051106 has 32 divisors (see below), whose sum is σ = 216442909440. Its totient is φ = 34270085376.

The previous prime is 105506051033. The next prime is 105506051111. The reversal of 105506051106 is 601150605501.

It is a super-3 number, since 3×105506051106³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752311 + ... + 881466.

It is an arithmetic number, because the mean of its divisors is an integer number (6763840920).

Almost surely, 2^105506051106 is an apocalyptic number.

105506051106 is an abundant number, since it is smaller than the sum of its proper divisors (110936858334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105506051106 is a wasteful number, since it uses less digits than its factorization.

105506051106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634058.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 105506051106 its reverse (601150605501), we get a palindrome (706656656607).

The spelling of 105506051106 in words is "one hundred five billion, five hundred six million, fifty-one thousand, one hundred six".