100503840000 has 360 divisors, whose sum is σ = 343345969120. Its totient is φ = 26072064000.

The previous prime is 100503839957. The next prime is 100503840023. The reversal of 100503840000 is 48305001.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 17757171 + ... + 17762829.

Almost surely, 2^100503840000 is an apocalyptic number.

100503840000 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 100503840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171672984560).

100503840000 is an abundant number, since it is smaller than the sum of its proper divisors (242842129120).

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

100503840000 is an frugal number, since it uses more digits than its factorization.

100503840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 100503840000 in words is "one hundred billion, five hundred three million, eight hundred forty thousand".