2106116128 has 24 divisors (see below), whose sum is σ = 4390324092. Its totient is φ = 991113216.

The previous prime is 2106116093. The next prime is 2106116137. The reversal of 2106116128 is 8216116012.

It can be written as a sum of positive squares in 2 ways, for example, as 1712966544 + 393149584 = 41388^2 + 19828^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2106116096 and 2106116105.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1935225 + ... + 1936312.

Almost surely, 2^2106116128 is an apocalyptic number.

It is an amenable number.

2106116128 is an abundant number, since it is smaller than the sum of its proper divisors (2284207964).

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

2106116128 is a wasteful number, since it uses less digits than its factorization.

2106116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871564 (or 3871556 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 2106116128 is about 45892.4408590347. The cubic root of 2106116128 is about 1281.8211641574.

The spelling of 2106116128 in words is "two billion, one hundred six million, one hundred sixteen thousand, one hundred twenty-eight".