105006111 has 32 divisors (see below), whose sum is σ = 165619200. Its totient is φ = 57926016.

The previous prime is 105006079. The next prime is 105006149. The reversal of 105006111 is 111600501.

It is not a de Polignac number, because 105006111 - 2⁵ = 105006079 is a prime.

It is a super-2 number, since 2×105006111² = 22052566694688642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115320 + ... + 116226.

It is an arithmetic number, because the mean of its divisors is an integer number (5175600).

Almost surely, 2^105006111 is an apocalyptic number.

105006111 is a deficient number, since it is larger than the sum of its proper divisors (60613089).

105006111 is a wasteful number, since it uses less digits than its factorization.

105006111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 105006111 is about 10247.2489478884. The cubic root of 105006111 is about 471.7785501804.

Adding to 105006111 its reverse (111600501), we get a palindrome (216606612).

The spelling of 105006111 in words is "one hundred five million, six thousand, one hundred eleven".