105110601101 has 16 divisors (see below), whose sum is σ = 115609213440. Its totient is φ = 94772368320.

The previous prime is 105110601091. The next prime is 105110601103. The reversal of 105110601101 is 101106011501.

It is a cyclic number.

It is not a de Polignac number, because 105110601101 - 2²⁶ = 105043492237 is a prime.

It is a super-2 number, since 2×105110601101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105110601101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105110601103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580211 + ... + 739503.

It is an arithmetic number, because the mean of its divisors is an integer number (7225575840).

Almost surely, 2^105110601101 is an apocalyptic number.

105110601101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105110601101 is a deficient number, since it is larger than the sum of its proper divisors (10498612339).

105110601101 is a wasteful number, since it uses less digits than its factorization.

105110601101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159796.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 105110601101 its reverse (101106011501), we get a palindrome (206216612602).

The spelling of 105110601101 in words is "one hundred five billion, one hundred ten million, six hundred one thousand, one hundred one".