105611006100111 has 8 divisors (see below), whose sum is σ = 148225973473920. Its totient is φ = 66701688063192.

The previous prime is 105611006100079. The next prime is 105611006100151. The reversal of 105611006100111 is 111001600116501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105611006100111 - 2⁵ = 105611006100079 is a prime.

It is a super-2 number, since 2×105611006100111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611006100151) 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 7 ways as a sum of consecutive naturals, for example, 926412334155 + ... + 926412334268.

It is an arithmetic number, because the mean of its divisors is an integer number (18528246684240).

Almost surely, 2^{105611006100111} is an apocalyptic number.

105611006100111 is a deficient number, since it is larger than the sum of its proper divisors (42614967373809).

105611006100111 is a wasteful number, since it uses less digits than its factorization.

105611006100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852824668445.

The product of its (nonzero) digits is 180, while the sum is 24.

Adding to 105611006100111 its reverse (111001600116501), we get a palindrome (216612606216612).

The spelling of 105611006100111 in words is "one hundred five trillion, six hundred eleven billion, six million, one hundred thousand, one hundred eleven".