2106168120 has 192 divisors, whose sum is σ = 7840048320. Its totient is φ = 480356352.

The previous prime is 2106168067. The next prime is 2106168133. The reversal of 2106168120 is 218616012.

2106168120 is a `hidden beast` number, since 21 + 0 + 616 + 8 + 1 + 20 = 666.

2106168120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2209564 + ... + 2210516.

It is an arithmetic number, because the mean of its divisors is an integer number (40833585).

Almost surely, 2^2106168120 is an apocalyptic number.

2106168120 is a gapful number since it is divisible by the number (20) 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 2106168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920024160).

2106168120 is an abundant number, since it is smaller than the sum of its proper divisors (5733880200).

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

2106168120 is a wasteful number, since it uses less digits than its factorization.

2106168120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2106168120 is about 45893.0073104825. The cubic root of 2106168120 is about 1281.8317118344.

The spelling of 2106168120 in words is "two billion, one hundred six million, one hundred sixty-eight thousand, one hundred twenty".