105005611106 has 16 divisors (see below), whose sum is σ = 176018276448. Its totient is φ = 46565680800.

The previous prime is 105005611097. The next prime is 105005611111. The reversal of 105005611106 is 601116500501.

It is a super-2 number, since 2×105005611106² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58206200 + ... + 58208003.

It is an arithmetic number, because the mean of its divisors is an integer number (11001142278).

Almost surely, 2^105005611106 is an apocalyptic number.

105005611106 is a deficient number, since it is larger than the sum of its proper divisors (71012665342).

105005611106 is a wasteful number, since it uses less digits than its factorization.

105005611106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116414257.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105005611106 in words is "one hundred five billion, five million, six hundred eleven thousand, one hundred six".