105005006056011 has 16 divisors (see below), whose sum is σ = 140090128439040. Its totient is φ = 69961614344160.

The previous prime is 105005006056009. The next prime is 105005006056021. The reversal of 105005006056011 is 110650600500501.

It is not a de Polignac number, because 105005006056011 - 2¹ = 105005006056009 is a prime.

It is a super-2 number, since 2×105005006056011² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105005006056011.

It is not an unprimeable number, because it can be changed into a prime (105005006056021) 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, 112046485 + ... + 112979753.

It is an arithmetic number, because the mean of its divisors is an integer number (8755633027440).

Almost surely, 2^{105005006056011} is an apocalyptic number.

105005006056011 is a deficient number, since it is larger than the sum of its proper divisors (35085122383029).

105005006056011 is a wasteful number, since it uses less digits than its factorization.

105005006056011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955586.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 105005006056011 its reverse (110650600500501), we get a palindrome (215655606556512).

The spelling of 105005006056011 in words is "one hundred five trillion, five billion, six million, fifty-six thousand, eleven".