109200807106561 has 3 divisors (see below), whose sum is σ = 109200817556481. Its totient is φ = 109200796656642.

The previous prime is 109200807106519. The next prime is 109200807106571. The reversal of 109200807106561 is 165601708002901.

The square root of 109200807106561 is 10449919.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 109200807106561 - 2³³ = 109192217171969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109200807106571) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 5224960 + ... + 15674878.

It is an arithmetic number, because the mean of its divisors is an integer number (36400272518827).

Almost surely, 2^{109200807106561} is an apocalyptic number.

109200807106561 is the 10449919-th square number.

109200807106561 is the 5224960-th centered octagonal number.

It is an amenable number.

109200807106561 is a deficient number, since it is larger than the sum of its proper divisors (10449920).

109200807106561 is an frugal number, since it uses more digits than its factorization.

109200807106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20899838 (or 10449919 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 109200807106561 in words is "one hundred nine trillion, two hundred billion, eight hundred seven million, one hundred six thousand, five hundred sixty-one".