108005666820 has 96 divisors (see below), whose sum is σ = 318525782400. Its totient is φ = 27269074944.

The previous prime is 108005666779. The next prime is 108005666833. The reversal of 108005666820 is 28666500801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1906666 + ... + 1962494.

It is an arithmetic number, because the mean of its divisors is an integer number (3317976900).

Almost surely, 2^108005666820 is an apocalyptic number.

108005666820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108005666820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159262891200).

108005666820 is an abundant number, since it is smaller than the sum of its proper divisors (210520115580).

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

108005666820 is a wasteful number, since it uses less digits than its factorization.

108005666820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57557 (or 57555 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 108005666820 in words is "one hundred eight billion, five million, six hundred sixty-six thousand, eight hundred twenty".