103302893998080 has 1664 divisors, whose sum is σ = 429969153868800. Its totient is φ = 23042432434176.

The previous prime is 103302893998049. The next prime is 103302893998121. The reversal of 103302893998080 is 80899398203301.

103302893998080 is a `hidden beast` number, since 1 + 0 + 3 + 302 + 8 + 93 + 99 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 103302893997999 and 103302893998017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27408566436 + ... + 27408570204.

It is an arithmetic number, because the mean of its divisors is an integer number (258394924200).

Almost surely, 2^{103302893998080} is an apocalyptic number.

103302893998080 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 103302893998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214984576934400).

103302893998080 is an abundant number, since it is smaller than the sum of its proper divisors (326666259870720).

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

103302893998080 is an equidigital number, since it uses as much as digits as its factorization.

103302893998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 103302893998080 in words is "one hundred three trillion, three hundred two billion, eight hundred ninety-three million, nine hundred ninety-eight thousand, eighty".