108468057600 has 720 divisors, whose sum is σ = 458047349760. Its totient is φ = 23987404800.

The previous prime is 108468057589. The next prime is 108468057623. The reversal of 108468057600 is 6750864801.

It is a happy number.

108468057600 is a `hidden beast` number, since 10 + 8 + 4 + 68 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 24996231 + ... + 25000569.

Almost surely, 2^108468057600 is an apocalyptic number.

108468057600 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 108468057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229023674880).

108468057600 is an abundant number, since it is smaller than the sum of its proper divisors (349579292160).

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

108468057600 is a wasteful number, since it uses less digits than its factorization.

108468057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 108468057600 in words is "one hundred eight billion, four hundred sixty-eight million, fifty-seven thousand, six hundred".