2106285120 has 196 divisors, whose sum is σ = 7520779980. Its totient is φ = 561613824.

The previous prime is 2106285101. The next prime is 2106285143. The reversal of 2106285120 is 215826012.

It is a happy number.

2106285120 is a `hidden beast` number, since 2 + 10 + 628 + 5 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1649009664 + 457275456 = 40608^2 + 21384^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 228766 + ... + 237794.

Almost surely, 2^2106285120 is an apocalyptic number.

2106285120 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 2106285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760389990).

2106285120 is an abundant number, since it is smaller than the sum of its proper divisors (5414494860).

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

2106285120 is an frugal number, since it uses more digits than its factorization.

2106285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2106285120 is about 45894.2819967804. The cubic root of 2106285120 is about 1281.8554471243.

The spelling of 2106285120 in words is "two billion, one hundred six million, two hundred eighty-five thousand, one hundred twenty".