108053617680 has 100 divisors (see below), whose sum is σ = 375286244652. Its totient is φ = 28814296320.

The previous prime is 108053617673. The next prime is 108053617681. The reversal of 108053617680 is 86716350801.

108053617680 is a `hidden beast` number, since 108 + 0 + 536 + 1 + 7 + 6 + 8 + 0 = 666.

108053617680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20036968704 + 88016648976 = 141552^2 + 296676^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (108053617681) 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 19 ways as a sum of consecutive naturals, for example, 8330991 + ... + 8343950.

Almost surely, 2^108053617680 is an apocalyptic number.

108053617680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108053617680 is an abundant number, since it is smaller than the sum of its proper divisors (267232626972).

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

108053617680 is a wasteful number, since it uses less digits than its factorization.

108053617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16674966 (or 16674951 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 108053617680 in words is "one hundred eight billion, fifty-three million, six hundred seventeen thousand, six hundred eighty".