105745574889 has 12 divisors (see below), whose sum is σ = 152764808196. Its totient is φ = 70487265312.

The previous prime is 105745574881. The next prime is 105745574911. The reversal of 105745574889 is 988475547501.

105745574889 is a `hidden beast` number, since 1 + 0 + 5 + 74 + 557 + 4 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51045720489 + 54699854400 = 225933^2 + 233880^2 .

It is not a de Polignac number, because 105745574889 - 2³ = 105745574881 is a prime.

It is a super-2 number, since 2×105745574889² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105745574881) 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 11 ways as a sum of consecutive naturals, for example, 746634 + ... + 876899.

It is an arithmetic number, because the mean of its divisors is an integer number (12730400683).

Almost surely, 2^105745574889 is an apocalyptic number.

It is an amenable number.

105745574889 is a deficient number, since it is larger than the sum of its proper divisors (47019233307).

105745574889 is a wasteful number, since it uses less digits than its factorization.

105745574889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630776 (or 1630773 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 105745574889 in words is "one hundred five billion, seven hundred forty-five million, five hundred seventy-four thousand, eight hundred eighty-nine".