104728652800 has 132 divisors (see below), whose sum is σ = 260701662240. Its totient is φ = 41713745920.

The previous prime is 104728652789. The next prime is 104728652803. The reversal of 104728652800 is 8256827401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (104728652803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6109842 + ... + 6126958.

Almost surely, 2^104728652800 is an apocalyptic number.

104728652800 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 104728652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130350831120).

104728652800 is an abundant number, since it is smaller than the sum of its proper divisors (155973009440).

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

104728652800 is a wasteful number, since it uses less digits than its factorization.

104728652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 104728652800 in words is "one hundred four billion, seven hundred twenty-eight million, six hundred fifty-two thousand, eight hundred".