2129087106 has 80 divisors (see below), whose sum is σ = 5064242040. Its totient is φ = 666247680.

The previous prime is 2129087101. The next prime is 2129087117. The reversal of 2129087106 is 6017809212.

It can be written as a sum of positive squares in 4 ways, for example, as 1532017881 + 597069225 = 39141^2 + 24435^2 .

It is not an unprimeable number, because it can be changed into a prime (2129087101) 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 39 ways as a sum of consecutive naturals, for example, 1489200 + ... + 1490628.

Almost surely, 2^2129087106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129087106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532121020).

2129087106 is an abundant number, since it is smaller than the sum of its proper divisors (2935154934).

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

2129087106 is a wasteful number, since it uses less digits than its factorization.

2129087106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2129087106 is about 46142.0318798381. The cubic root of 2129087106 is about 1286.4645106286.

The spelling of 2129087106 in words is "two billion, one hundred twenty-nine million, eighty-seven thousand, one hundred six".