2016106128 has 60 divisors (see below), whose sum is σ = 5666607180. Its totient is φ = 669139968.

The previous prime is 2016106117. The next prime is 2016106139. The reversal of 2016106128 is 8216016102.

2016106128 is a `hidden beast` number, since 20 + 1 + 610 + 6 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2016106117) and next prime (2016106139).

It can be written as a sum of positive squares in 2 ways, for example, as 1402652304 + 613453824 = 37452^2 + 24768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3508 + ... + 63596.

It is an arithmetic number, because the mean of its divisors is an integer number (94443453).

Almost surely, 2^2016106128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016106128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833303590).

2016106128 is an abundant number, since it is smaller than the sum of its proper divisors (3650501052).

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

2016106128 is a wasteful number, since it uses less digits than its factorization.

2016106128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60336 (or 60327 counting only the distinct ones).

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

The square root of 2016106128 is about 44901.0704549457. The cubic root of 2016106128 is about 1263.2940865567.

The spelling of 2016106128 in words is "two billion, sixteen million, one hundred six thousand, one hundred twenty-eight".