100303015061424 has 480 divisors, whose sum is σ = 312574548948480. Its totient is φ = 27622135296000.

The previous prime is 100303015061413. The next prime is 100303015061471. The reversal of 100303015061424 is 424160510303001.

It is a junction number, because it is equal to n+sod(n) for n = 100303015061391 and 100303015061400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1443568764 + ... + 1443638244.

It is an arithmetic number, because the mean of its divisors is an integer number (651196976976).

Almost surely, 2^{100303015061424} is an apocalyptic number.

100303015061424 is a gapful number since it is divisible by the number (14) 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 100303015061424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156287274474240).

100303015061424 is an abundant number, since it is smaller than the sum of its proper divisors (212271533887056).

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

100303015061424 is a wasteful number, since it uses less digits than its factorization.

100303015061424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69769 (or 69756 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 100303015061424 its reverse (424160510303001), we get a palindrome (524463525364425).

The spelling of 100303015061424 in words is "one hundred trillion, three hundred three billion, fifteen million, sixty-one thousand, four hundred twenty-four".