103209472385280 has 432 divisors, whose sum is σ = 371087290828800. Its totient is φ = 26455932518400.

The previous prime is 103209472385231. The next prime is 103209472385281. The reversal of 103209472385280 is 82583274902301.

103209472385280 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 94 + 7 + 23 + 8 + 528 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (103209472385281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52241065 + ... + 54180695.

It is an arithmetic number, because the mean of its divisors is an integer number (858998358400).

Almost surely, 2^{103209472385280} is an apocalyptic number.

103209472385280 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 103209472385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185543645414400).

103209472385280 is an abundant number, since it is smaller than the sum of its proper divisors (267877818443520).

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

103209472385280 is a wasteful number, since it uses less digits than its factorization.

103209472385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939838 (or 1939821 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 103209472385280 in words is "one hundred three trillion, two hundred nine billion, four hundred seventy-two million, three hundred eighty-five thousand, two hundred eighty".