108145811128320 has 1920 divisors, whose sum is σ = 451422107136000. Its totient is φ = 24326644432896.

The previous prime is 108145811128309. The next prime is 108145811128403. The reversal of 108145811128320 is 23821118541801.

108145811128320 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 4 + 581 + 11 + 28 + 32 + 0 = 666.

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 (45).

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, 352266485607 + ... + 352266485913.

It is an arithmetic number, because the mean of its divisors is an integer number (235115680800).

Almost surely, 2^{108145811128320} is an apocalyptic number.

108145811128320 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 108145811128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225711053568000).

108145811128320 is an abundant number, since it is smaller than the sum of its proper divisors (343276296007680).

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

108145811128320 is an frugal number, since it uses more digits than its factorization.

108145811128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 108145811128320 in words is "one hundred eight trillion, one hundred forty-five billion, eight hundred eleven million, one hundred twenty-eight thousand, three hundred twenty".