108103721248320 has 224 divisors, whose sum is σ = 392269699584000. Its totient is φ = 24708941666304.

The previous prime is 108103721248261. The next prime is 108103721248399. The reversal of 108103721248320 is 23842127301801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436131781 + ... + 436379579.

It is an arithmetic number, because the mean of its divisors is an integer number (1751204016000).

Almost surely, 2^{108103721248320} is an apocalyptic number.

108103721248320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108103721248320 is an abundant number, since it is smaller than the sum of its proper divisors (284165978335680).

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

108103721248320 is a wasteful number, since it uses less digits than its factorization.

108103721248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312745 (or 312735 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 108103721248320 in words is "one hundred eight trillion, one hundred three billion, seven hundred twenty-one million, two hundred forty-eight thousand, three hundred twenty".