2160106272900 has 81 divisors (see below), whose sum is σ = 6770871312933. Its totient is φ = 576016581600.

The previous prime is 2160106272869. The next prime is 2160106272901. The reversal of 2160106272900 is 92726010612.

The square root of 2160106272900 is 1469730.

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

2160106272900 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 1 + 0 + 627 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 777638258244 + 1382468014656 = 881838^2 + 1175784^2 .

It is a super-2 number, since 2×2160106272900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2160106272901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44067405 + ... + 44116395.

Almost surely, 2^{2160106272900} is an apocalyptic number.

2160106272900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2160106272900 is the 1469730-th square number.

It is an amenable number.

2160106272900 is an abundant number, since it is smaller than the sum of its proper divisors (4610765040033).

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

2160106272900 is an frugal number, since it uses more digits than its factorization.

2160106272900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98002 (or 49001 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 2160106272900 by its sum of digits (36), we get a square (77763825824400 = 8818380²).

2160106272900 divided by its sum of digits (36) gives a square (60002952025 = 244955²).

The spelling of 2160106272900 in words is "two trillion, one hundred sixty billion, one hundred six million, two hundred seventy-two thousand, nine hundred".