2016216100 has 36 divisors (see below), whose sum is σ = 4377719808. Its totient is φ = 806020000.

The previous prime is 2016216079. The next prime is 2016216107. The reversal of 2016216100 is 16126102.

2016216100 = T₁₈₅ + T₁₈₆ + ... + T₂₂₉₅.

It is not an unprimeable number, because it can be changed into a prime (2016216107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206325 + ... + 215875.

It is an arithmetic number, because the mean of its divisors is an integer number (121603328).

Almost surely, 2^2016216100 is an apocalyptic number.

2016216100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2016216100 is an abundant number, since it is smaller than the sum of its proper divisors (2361503708).

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

2016216100 is a wasteful number, since it uses less digits than its factorization.

2016216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2016216100 is about 44902.2950415678. The cubic root of 2016216100 is about 1263.3170556603.

The spelling of 2016216100 in words is "two billion, sixteen million, two hundred sixteen thousand, one hundred".