108605952000 has 1872 divisors, whose sum is σ = 503722516752. Its totient is φ = 22295347200.

The previous prime is 108605951969. The next prime is 108605952011. The reversal of 108605952000 is 259506801.

It is a happy number.

108605952000 is a `hidden beast` number, since 1 + 0 + 8 + 60 + 595 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31952277504 + 76653674496 = 178752^2 + 276864^2 .

It is a tau number, because it is divible by the number of its divisors (1872).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2935295982 + ... + 2935296018.

It is an arithmetic number, because the mean of its divisors is an integer number (269082541).

Almost surely, 2^108605952000 is an apocalyptic number.

108605952000 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 108605952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251861258376).

108605952000 is an abundant number, since it is smaller than the sum of its proper divisors (395116564752).

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

108605952000 is a wasteful number, since it uses less digits than its factorization.

108605952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 108605952000 in words is "one hundred eight billion, six hundred five million, nine hundred fifty-two thousand".