108168386400 has 216 divisors, whose sum is σ = 386802836784. Its totient is φ = 28438502400.

The previous prime is 108168386377. The next prime is 108168386401. The reversal of 108168386400 is 4683861801.

It is a happy number.

108168386400 is a `hidden beast` number, since 1 + 0 + 8 + 168 + 3 + 86 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108168386401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405402 + ... + 616998.

It is an arithmetic number, because the mean of its divisors is an integer number (1790753874).

Almost surely, 2^108168386400 is an apocalyptic number.

108168386400 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 108168386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193401418392).

108168386400 is an abundant number, since it is smaller than the sum of its proper divisors (278634450384).

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

108168386400 is a wasteful number, since it uses less digits than its factorization.

108168386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211694 (or 211678 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 108168386400 in words is "one hundred eight billion, one hundred sixty-eight million, three hundred eighty-six thousand, four hundred".