2011023105 has 48 divisors (see below), whose sum is σ = 3981962880. Its totient is φ = 848600064.

The previous prime is 2011023089. The next prime is 2011023107. The reversal of 2011023105 is 5013201102.

It is not a de Polignac number, because 2011023105 - 2⁴ = 2011023089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2011023107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38920 + ... + 74409.

It is an arithmetic number, because the mean of its divisors is an integer number (82957560).

Almost surely, 2^2011023105 is an apocalyptic number.

It is an amenable number.

2011023105 is a deficient number, since it is larger than the sum of its proper divisors (1970939775).

2011023105 is a wasteful number, since it uses less digits than its factorization.

2011023105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113370 (or 113357 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2011023105 is about 44844.4322631026. The cubic root of 2011023105 is about 1262.2315173295.

Adding to 2011023105 its reverse (5013201102), we get a palindrome (7024224207).

The spelling of 2011023105 in words is "two billion, eleven million, twenty-three thousand, one hundred five".