105011101011106 has 16 divisors (see below), whose sum is σ = 162599116889088. Its totient is φ = 50811422112000.

The previous prime is 105011101011029. The next prime is 105011101011127. The reversal of 105011101011106 is 601110101110501.

It is a super-2 number, since 2×105011101011106² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314306 + ... + 14551618.

It is an arithmetic number, because the mean of its divisors is an integer number (10162444805568).

Almost surely, 2^{105011101011106} is an apocalyptic number.

105011101011106 is a deficient number, since it is larger than the sum of its proper divisors (57588015877982).

105011101011106 is a wasteful number, since it uses less digits than its factorization.

105011101011106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365297.

The product of its (nonzero) digits is 30, while the sum is 19.

Adding to 105011101011106 its reverse (601110101110501), we get a palindrome (706121202121607).

The spelling of 105011101011106 in words is "one hundred five trillion, eleven billion, one hundred one million, eleven thousand, one hundred six".