108900001089 has 36 divisors (see below), whose sum is σ = 183070621188. Its totient is φ = 62117637120.

The previous prime is 108900001061. The next prime is 108900001163. The reversal of 108900001089 is 980100009801.

It can be written as a sum of positive squares in 2 ways, for example, as 84792780864 + 24107220225 = 291192^2 + 155265^2 .

It is not a de Polignac number, because 108900001089 - 2⁷ = 108900000961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108900001289) 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 35 ways as a sum of consecutive naturals, for example, 2922664 + ... + 2959689.

It is an arithmetic number, because the mean of its divisors is an integer number (5085295033).

Almost surely, 2^108900001089 is an apocalyptic number.

It is an amenable number.

108900001089 is a deficient number, since it is larger than the sum of its proper divisors (74170620099).

108900001089 is a wasteful number, since it uses less digits than its factorization.

108900001089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882398 (or 5882384 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

It can be divided in two parts, 10890000 and 1089, that multiplied together give a 4-th power (11859210000 = 330⁴).

The spelling of 108900001089 in words is "one hundred eight billion, nine hundred million, one thousand, eighty-nine".