108766147668201 has 21 divisors (see below), whose sum is σ = 163075044136269. Its totient is φ = 72510577388316.

The previous prime is 108766147668151. The next prime is 108766147668209. The reversal of 108766147668201 is 102866741667801.

The square root of 108766147668201 is 10429101.

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

108766147668201 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 6 + 614 + 7 + 6 + 6 + 8 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 108766147668201 - 2⁹ = 108766147667689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108766147668209) 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 20 ways as a sum of consecutive naturals, for example, 281392596 + ... + 281778858.

Almost surely, 2^{108766147668201} is an apocalyptic number.

108766147668201 is the 10429101-st square number.

108766147668201 is the 5214551-st centered octagonal number.

It is an amenable number.

108766147668201 is a deficient number, since it is larger than the sum of its proper divisors (54308896468068).

108766147668201 is an frugal number, since it uses more digits than its factorization.

108766147668201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772544 (or 386266 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 108766147668201 in words is "one hundred eight trillion, seven hundred sixty-six billion, one hundred forty-seven million, six hundred sixty-eight thousand, two hundred one".