2106116012 has 96 divisors (see below), whose sum is σ = 5030344704. Its totient is φ = 744940800.

The previous prime is 2106116011. The next prime is 2106116017.

2106116012 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2106116011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239933 + ... + 248555.

It is an arithmetic number, because the mean of its divisors is an integer number (52399424).

Almost surely, 2^2106116012 is an apocalyptic number.

2106116012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106116012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515172352).

2106116012 is an abundant number, since it is smaller than the sum of its proper divisors (2924228692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2106116012 is a wasteful number, since it uses less digits than its factorization.

2106116012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2106116012 is about 45892.4395952100. The cubic root of 2106116012 is about 1281.8211406242.

It can be divided in two parts, 21061 and 16012, that added together give a palindrome (37073).

The spelling of 2106116012 in words is "two billion, one hundred six million, one hundred sixteen thousand, twelve".