108018892800 has 1728 divisors, whose sum is σ = 505815906960. Its totient is φ = 21799895040.

The previous prime is 108018892799. The next prime is 108018892811. The reversal of 108018892800 is 8298810801.

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 107 ways as a sum of consecutive naturals, for example, 4696473589 + ... + 4696473611.

Almost surely, 2^108018892800 is an apocalyptic number.

108018892800 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 108018892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252907953480).

108018892800 is an abundant number, since it is smaller than the sum of its proper divisors (397797014160).

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

108018892800 is a wasteful number, since it uses less digits than its factorization.

108018892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 108018892800 in words is "one hundred eight billion, eighteen million, eight hundred ninety-two thousand, eight hundred".