2176834668100 has 27 divisors (see below), whose sum is σ = 4723763246391. Its totient is φ = 870727965600.

The previous prime is 2176834668083. The next prime is 2176834668187. The reversal of 2176834668100 is 18664386712.

The square root of 2176834668100 is 1475410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1004136268356 + 1172698399744 = 1002066^2 + 1082912^2 .

It is a super-2 number, since 2×2176834668100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14680330 + ... + 14827870.

Almost surely, 2^{2176834668100} is an apocalyptic number.

2176834668100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2176834668100 is the 1475410-th square number.

It is an amenable number.

2176834668100 is an abundant number, since it is smaller than the sum of its proper divisors (2546928578291).

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

2176834668100 is an frugal number, since it uses more digits than its factorization.

2176834668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295096 (or 147548 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 2176834668100 in words is "two trillion, one hundred seventy-six billion, eight hundred thirty-four million, six hundred sixty-eight thousand, one hundred".