108404904000 has 224 divisors, whose sum is σ = 358803244800. Its totient is φ = 28839321600.

The previous prime is 108404903987. The next prime is 108404904007. The reversal of 108404904000 is 409404801.

It is a Cunningham number, because it is equal to 329249²-1.

It is a super-2 number, since 2×108404904000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (108404904007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10530856 + ... + 10541144.

It is an arithmetic number, because the mean of its divisors is an integer number (1601800200).

Almost surely, 2^108404904000 is an apocalyptic number.

108404904000 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 108404904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179401622400).

108404904000 is an abundant number, since it is smaller than the sum of its proper divisors (250398340800).

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

108404904000 is a wasteful number, since it uses less digits than its factorization.

108404904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 108404904000 in words is "one hundred eight billion, four hundred four million, nine hundred four thousand".