103315224000 has 224 divisors, whose sum is σ = 345957460992. Its totient is φ = 27162240000.

The previous prime is 103315223959. The next prime is 103315224013. The reversal of 103315224000 is 422513301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673685 + ... + 1734315.

Almost surely, 2^103315224000 is an apocalyptic number.

103315224000 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 103315224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172978730496).

103315224000 is an abundant number, since it is smaller than the sum of its proper divisors (242642236992).

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

103315224000 is an equidigital number, since it uses as much as digits as its factorization.

103315224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60732 (or 60712 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 103315224000 its reverse (422513301), we get a palindrome (103737737301).

The spelling of 103315224000 in words is "one hundred three billion, three hundred fifteen million, two hundred twenty-four thousand".