108198900421920 has 576 divisors, whose sum is σ = 460378609576704. Its totient is φ = 22480863068160.

The previous prime is 108198900421877. The next prime is 108198900421979. The reversal of 108198900421920 is 29124009891801.

108198900421920 is a `hidden beast` number, since 1 + 0 + 8 + 198 + 9 + 0 + 0 + 421 + 9 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1445061604 + ... + 1445136476.

It is an arithmetic number, because the mean of its divisors is an integer number (799268419404).

Almost surely, 2^{108198900421920} is an apocalyptic number.

108198900421920 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 108198900421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230189304788352).

108198900421920 is an abundant number, since it is smaller than the sum of its proper divisors (352179709154784).

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

108198900421920 is a wasteful number, since it uses less digits than its factorization.

108198900421920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87945 (or 87934 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 108198900421920 in words is "one hundred eight trillion, one hundred ninety-eight billion, nine hundred million, four hundred twenty-one thousand, nine hundred twenty".