200972103190369 has 81 divisors (see below), whose sum is σ = 240081260540499. Its totient is φ = 167742714918240.

The previous prime is 200972103190291. The next prime is 200972103190451. The reversal of 200972103190369 is 963091301279002.

It is a happy number.

The square root of 200972103190369 is 14176463.

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., 2214551730769 + 198757551459600 = 1488137^2 + 14098140^2 .

It is a de Polignac number, because none of the positive numbers 2^k-200972103190369 is a prime.

It is a super-3 number, since 3×200972103190369³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (200972103191369) 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 80 ways as a sum of consecutive naturals, for example, 1110343111459 + ... + 1110343111639.

Almost surely, 2^{200972103190369} is an apocalyptic number.

200972103190369 is the 14176463-rd square number.

200972103190369 is the 7088232-nd centered octagonal number.

It is an amenable number.

200972103190369 is a deficient number, since it is larger than the sum of its proper divisors (39109157350130).

200972103190369 is an frugal number, since it uses more digits than its factorization.

200972103190369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 52.

The spelling of 200972103190369 in words is "two hundred trillion, nine hundred seventy-two billion, one hundred three million, one hundred ninety thousand, three hundred sixty-nine".