108813196800 has 2400 divisors, whose sum is σ = 530464619520. Its totient is φ = 21366374400.

The previous prime is 108813196787. The next prime is 108813196819. The reversal of 108813196800 is 8691318801.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2315174377 + ... + 2315174423.

Almost surely, 2^108813196800 is an apocalyptic number.

108813196800 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 108813196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265232309760).

108813196800 is an abundant number, since it is smaller than the sum of its proper divisors (421651422720).

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

108813196800 is a wasteful number, since it uses less digits than its factorization.

108813196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

It can be divided in two parts, 10881 and 3196800, that added together give a square (3207681 = 1791²).

The spelling of 108813196800 in words is "one hundred eight billion, eight hundred thirteen million, one hundred ninety-six thousand, eight hundred".