108921781089 has 81 divisors (see below), whose sum is σ = 176625166809. Its totient is φ = 64633662720.

The previous prime is 108921781079. The next prime is 108921781091. The reversal of 108921781089 is 980187129801.

The square root of 108921781089 is 330033.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2619699489 + 106302081600 = 51183^2 + 326040^2 .

It is not a de Polignac number, because 108921781089 - 2¹⁷ = 108921650017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108921781019) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 795049429 + ... + 795049565.

Almost surely, 2^108921781089 is an apocalyptic number.

108921781089 is the 330033-rd square number.

108921781089 is the 165017-th centered octagonal number.

It is an amenable number.

108921781089 is a deficient number, since it is larger than the sum of its proper divisors (67703385720).

108921781089 is an equidigital number, since it uses as much as digits as its factorization.

108921781089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 108921781089 in words is "one hundred eight billion, nine hundred twenty-one million, seven hundred eighty-one thousand, eighty-nine".