104507946480 has 640 divisors, whose sum is σ = 408293867520. Its totient is φ = 21587005440.

The previous prime is 104507946469. The next prime is 104507946481. The reversal of 104507946480 is 84649705401.

104507946480 is digitally balanced in base 7, 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104507946481) by changing a digit.

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, 51506106 + ... + 51508134.

It is an arithmetic number, because the mean of its divisors is an integer number (637959168).

Almost surely, 2^104507946480 is an apocalyptic number.

104507946480 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 104507946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204146933760).

104507946480 is an abundant number, since it is smaller than the sum of its proper divisors (303785921040).

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

104507946480 is a wasteful number, since it uses less digits than its factorization.

104507946480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 104507946480 in words is "one hundred four billion, five hundred seven million, nine hundred forty-six thousand, four hundred eighty".