108420748800 has 1920 divisors, whose sum is σ = 491008573440. Its totient is φ = 20437401600.

The previous prime is 108420748783. The next prime is 108420748817. The reversal of 108420748800 is 8847024801.

It is an interprime number because it is at equal distance from previous prime (108420748783) and next prime (108420748817).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1527052765 + ... + 1527052835.

It is an arithmetic number, because the mean of its divisors is an integer number (255733632).

Almost surely, 2^108420748800 is an apocalyptic number.

108420748800 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 108420748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245504286720).

108420748800 is an abundant number, since it is smaller than the sum of its proper divisors (382587824640).

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

108420748800 is a wasteful number, since it uses less digits than its factorization.

108420748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 108420748800 in words is "one hundred eight billion, four hundred twenty million, seven hundred forty-eight thousand, eight hundred".