110605506011 has 24 divisors (see below), whose sum is σ = 149630349792. Its totient is φ = 79556400000.

The previous prime is 110605505977. The next prime is 110605506023.

110605506011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110605506011 - 2³⁴ = 93425636827 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (110605506031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5011490 + ... + 5033511.

It is an arithmetic number, because the mean of its divisors is an integer number (6234597908).

Almost surely, 2^110605506011 is an apocalyptic number.

110605506011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110605506011 is a deficient number, since it is larger than the sum of its proper divisors (39024843781).

110605506011 is a wasteful number, since it uses less digits than its factorization.

110605506011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045043 (or 10045032 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

It can be divided in two parts, 110605 and 506011, that added together give a palindrome (616616).

The spelling of 110605506011 in words is "one hundred ten billion, six hundred five million, five hundred six thousand, eleven".