105582673608 has 32 divisors (see below), whose sum is σ = 269572786560. Its totient is φ = 34445410880.

The previous prime is 105582673583. The next prime is 105582673631. The reversal of 105582673608 is 806376285501.

It is a happy number.

105582673608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105582673608² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46799703 + ... + 46801958.

It is an arithmetic number, because the mean of its divisors is an integer number (8424149580).

Almost surely, 2^105582673608 is an apocalyptic number.

It is an amenable number.

105582673608 is an abundant number, since it is smaller than the sum of its proper divisors (163990112952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105582673608 is a wasteful number, since it uses less digits than its factorization.

105582673608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93601717 (or 93601713 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 105582673608 in words is "one hundred five billion, five hundred eighty-two million, six hundred seventy-three thousand, six hundred eight".