108150872769 has 9 divisors (see below), whose sum is σ = 156219352419. Its totient is φ = 72099924120.

The previous prime is 108150872693. The next prime is 108150872771. The reversal of 108150872769 is 967278051801.

The square root of 108150872769 is 328863.

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

108150872769 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 508 + 72 + 7 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69018120369 + 39132752400 = 262713^2 + 197820^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-108150872769 is a prime.

It is a super-3 number, since 3×108150872769³ (a number of 34 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 (108150872779) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 931779 + ... + 1041399.

Almost surely, 2^108150872769 is an apocalyptic number.

108150872769 is the 328863-rd square number.

108150872769 is the 164432-nd centered octagonal number.

It is an amenable number.

108150872769 is a deficient number, since it is larger than the sum of its proper divisors (48068479650).

108150872769 is an frugal number, since it uses more digits than its factorization.

108150872769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219248 (or 109624 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 108150872769 in words is "one hundred eight billion, one hundred fifty million, eight hundred seventy-two thousand, seven hundred sixty-nine".