103895904000 has 576 divisors, whose sum is σ = 396411724800. Its totient is φ = 23626137600.

The previous prime is 103895903941. The next prime is 103895904011. The reversal of 103895904000 is 409598301.

It is a self number, because there is not a number n which added to its sum of digits gives 103895904000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234527779 + ... + 234528221.

It is an arithmetic number, because the mean of its divisors is an integer number (688214800).

Almost surely, 2^103895904000 is an apocalyptic number.

103895904000 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 103895904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198205862400).

103895904000 is an abundant number, since it is smaller than the sum of its proper divisors (292515820800).

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

103895904000 is an equidigital number, since it uses as much as digits as its factorization.

103895904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 103895904000 in words is "one hundred three billion, eight hundred ninety-five million, nine hundred four thousand".