100303275552480 has 3456 divisors, whose sum is σ = 499400841139200. Its totient is φ = 17967262924800.

The previous prime is 100303275552479. The next prime is 100303275552523. The reversal of 100303275552480 is 84255572303001.

100303275552480 is a `hidden beast` number, since 1 + 0 + 0 + 30 + 3 + 27 + 5 + 552 + 48 + 0 = 666.

100303275552480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 575 ways as a sum of consecutive naturals, for example, 13611514236 + ... + 13611521604.

It is an arithmetic number, because the mean of its divisors is an integer number (144502558200).

Almost surely, 2^{100303275552480} is an apocalyptic number.

100303275552480 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 100303275552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249700420569600).

100303275552480 is an abundant number, since it is smaller than the sum of its proper divisors (399097565586720).

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

100303275552480 is a wasteful number, since it uses less digits than its factorization.

100303275552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 100303275552480 in words is "one hundred trillion, three hundred three billion, two hundred seventy-five million, five hundred fifty-two thousand, four hundred eighty".