108003168000 has 1296 divisors, whose sum is σ = 482455262016. Its totient is φ = 22715596800.

The previous prime is 108003167977. The next prime is 108003168023. The reversal of 108003168000 is 861300801.

It is an interprime number because it is at equal distance from previous prime (108003167977) and next prime (108003168023).

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 143 ways as a sum of consecutive naturals, for example, 340703842 + ... + 340704158.

Almost surely, 2^108003168000 is an apocalyptic number.

108003168000 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 108003168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241227631008).

108003168000 is an abundant number, since it is smaller than the sum of its proper divisors (374452094016).

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

108003168000 is a wasteful number, since it uses less digits than its factorization.

108003168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 108003168000 its reverse (861300801), we get a palindrome (108864468801).

The spelling of 108003168000 in words is "one hundred eight billion, three million, one hundred sixty-eight thousand".