103809888000 has 1728 divisors, whose sum is σ = 488872081152. Its totient is φ = 20525875200.

The previous prime is 103809887981. The next prime is 103809888031. The reversal of 103809888000 is 888908301.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445535884 + ... + 445536116.

It is an arithmetic number, because the mean of its divisors is an integer number (282912084).

Almost surely, 2^103809888000 is an apocalyptic number.

103809888000 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 103809888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244436040576).

103809888000 is an abundant number, since it is smaller than the sum of its proper divisors (385062193152).

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

103809888000 is a wasteful number, since it uses less digits than its factorization.

103809888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 103809888000 in words is "one hundred three billion, eight hundred nine million, eight hundred eighty-eight thousand".