104875628720 has 80 divisors (see below), whose sum is σ = 246749608800. Its totient is φ = 41451896832.

The previous prime is 104875628719. The next prime is 104875628723. The reversal of 104875628720 is 27826578401.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (104875628723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277767 + ... + 2323353.

It is an arithmetic number, because the mean of its divisors is an integer number (3084370110).

Almost surely, 2^104875628720 is an apocalyptic number.

104875628720 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 104875628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123374804400).

104875628720 is an abundant number, since it is smaller than the sum of its proper divisors (141873980080).

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

104875628720 is a wasteful number, since it uses less digits than its factorization.

104875628720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45942 (or 45936 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 104875628720 in words is "one hundred four billion, eight hundred seventy-five million, six hundred twenty-eight thousand, seven hundred twenty".