2107728100 has 27 divisors (see below), whose sum is σ = 4574766441. Its totient is φ = 842907600.

The previous prime is 2107728097. The next prime is 2107728107. The reversal of 2107728100 is 18277012.

The square root of 2107728100 is 45910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 758782116 + 1348945984 = 27546^2 + 36728^2 .

It is a super-2 number, since 2×2107728100² = 8885035487059220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2107728107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 456805 + ... + 461395.

Almost surely, 2^2107728100 is an apocalyptic number.

2107728100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2107728100 is the 45910-th square number.

It is an amenable number.

2107728100 is an abundant number, since it is smaller than the sum of its proper divisors (2467038341).

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

2107728100 is an frugal number, since it uses more digits than its factorization.

2107728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The cubic root of 2107728100 is about 1282.1481060683.

The spelling of 2107728100 in words is "two billion, one hundred seven million, seven hundred twenty-eight thousand, one hundred".