103688428800 has 216 divisors, whose sum is σ = 373302669600. Its totient is φ = 25136537600.

The previous prime is 103688428771. The next prime is 103688428817. The reversal of 103688428800 is 8824886301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103688428800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34275 + ... + 456674.

It is an arithmetic number, because the mean of its divisors is an integer number (1728253100).

Almost surely, 2^103688428800 is an apocalyptic number.

103688428800 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 103688428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186651334800).

103688428800 is an abundant number, since it is smaller than the sum of its proper divisors (269614240800).

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

103688428800 is a wasteful number, since it uses less digits than its factorization.

103688428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490989 (or 490970 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 103688428800 in words is "one hundred three billion, six hundred eighty-eight million, four hundred twenty-eight thousand, eight hundred".