109649191765201 has 9 divisors (see below), whose sum is σ = 120523618383259. Its totient is φ = 99680978709400.

The previous prime is 109649191765171. The next prime is 109649191765207. The reversal of 109649191765201 is 102567191946901.

The square root of 109649191765201 is 10471351.

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., 29415968475201 + 80233223290000 = 5423649^2 + 8957300^2 .

It is not a de Polignac number, because 109649191765201 - 2²¹ = 109649189668049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 109649191765201.

It is not an unprimeable number, because it can be changed into a prime (109649191765207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114708891 + ... + 115660831.

Almost surely, 2^{109649191765201} is an apocalyptic number.

109649191765201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

109649191765201 is the 10471351-st square number.

109649191765201 is the 5235676-th centered octagonal number.

It is an amenable number.

109649191765201 is a deficient number, since it is larger than the sum of its proper divisors (10874426618058).

109649191765201 is an frugal number, since it uses more digits than its factorization.

109649191765201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903904 (or 951952 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 61.

The spelling of 109649191765201 in words is "one hundred nine trillion, six hundred forty-nine billion, one hundred ninety-one million, seven hundred sixty-five thousand, two hundred one".