108281952000 has 216 divisors, whose sum is σ = 389631081840. Its totient is φ = 28875110400.

The previous prime is 108281951933. The next prime is 108281952017. The reversal of 108281952000 is 259182801.

108281952000 is a `hidden beast` number, since 108 + 28 + 1 + 9 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×108281952000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100011 + ... + 475989.

Almost surely, 2^108281952000 is an apocalyptic number.

108281952000 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 108281952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194815540920).

108281952000 is an abundant number, since it is smaller than the sum of its proper divisors (281349129840).

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

108281952000 is an equidigital number, since it uses as much as digits as its factorization.

108281952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376016 (or 375989 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 108281952000 in words is "one hundred eight billion, two hundred eighty-one million, nine hundred fifty-two thousand".