2027016100 has 18 divisors (see below), whose sum is σ = 4398625154. Its totient is φ = 810806400.

The previous prime is 2027016091. The next prime is 2027016137. The reversal of 2027016100 is 16107202.

It can be written as a sum of positive squares in 3 ways, for example, as 163021824 + 1863994276 = 12768^2 + 43174^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 10134981 + ... + 10135180.

Almost surely, 2^2027016100 is an apocalyptic number.

2027016100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2027016100 is an abundant number, since it is smaller than the sum of its proper divisors (2371609054).

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

2027016100 is a wasteful number, since it uses less digits than its factorization.

2027016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20270175 (or 20270168 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2027016100 is about 45022.3955382208. The cubic root of 2027016100 is about 1265.5687215538.

The spelling of 2027016100 in words is "two billion, twenty-seven million, sixteen thousand, one hundred".