108092620800 has 672 divisors, whose sum is σ = 404135077710. Its totient is φ = 28665446400.

The previous prime is 108092620799. The next prime is 108092620843. The reversal of 108092620800 is 8026290801.

It can be written as a sum of positive squares in 3 ways, for example, as 44443385856 + 63649234944 = 210816^2 + 252288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 597196710 + ... + 597196890.

Almost surely, 2^108092620800 is an apocalyptic number.

108092620800 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 108092620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202067538855).

108092620800 is an abundant number, since it is smaller than the sum of its proper divisors (296042456910).

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

108092620800 is an frugal number, since it uses more digits than its factorization.

108092620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 108092620800 in words is "one hundred eight billion, ninety-two million, six hundred twenty thousand, eight hundred".