105006111027 has 8 divisors (see below), whose sum is σ = 140095604880. Its totient is φ = 69960345600.

The previous prime is 105006111013. The next prime is 105006111073. The reversal of 105006111027 is 720111600501.

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

It is not a de Polignac number, because 105006111027 - 2⁴ = 105006111011 is a prime.

It is a super-2 number, since 2×105006111027² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105006110988 and 105006111006.

It is not an unprimeable number, because it can be changed into a prime (105006116027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10926502 + ... + 10936107.

It is an arithmetic number, because the mean of its divisors is an integer number (17511950610).

Almost surely, 2^105006111027 is an apocalyptic number.

105006111027 is a deficient number, since it is larger than the sum of its proper divisors (35089493853).

105006111027 is a wasteful number, since it uses less digits than its factorization.

105006111027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21864213.

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 105006111027 its reverse (720111600501), we get a palindrome (825117711528).

The spelling of 105006111027 in words is "one hundred five billion, six million, one hundred eleven thousand, twenty-seven".