105060011111 has 16 divisors (see below), whose sum is σ = 120706796160. Its totient is φ = 90434515680.

The previous prime is 105060011099. The next prime is 105060011123. The reversal of 105060011111 is 111110060501.

It is an interprime number because it is at equal distance from previous prime (105060011099) and next prime (105060011123).

It is a cyclic number.

It is not a de Polignac number, because 105060011111 - 2¹⁰ = 105060010087 is a prime.

It is a super-2 number, since 2×105060011111² (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 105060011111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105060011171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266765 + ... + 530361.

It is an arithmetic number, because the mean of its divisors is an integer number (7544174760).

Almost surely, 2^105060011111 is an apocalyptic number.

105060011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105060011111 is a deficient number, since it is larger than the sum of its proper divisors (15646785049).

105060011111 is a wasteful number, since it uses less digits than its factorization.

105060011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265534.

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

Adding to 105060011111 its reverse (111110060501), we get a palindrome (216170071612).

The spelling of 105060011111 in words is "one hundred five billion, sixty million, eleven thousand, one hundred eleven".