104775680 has 60 divisors (see below), whose sum is σ = 251650560. Its totient is φ = 41877504.

The previous prime is 104775667. The next prime is 104775703. The reversal of 104775680 is 86577401.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81281 + ... + 82559.

It is an arithmetic number, because the mean of its divisors is an integer number (4194176).

Almost surely, 2^104775680 is an apocalyptic number.

104775680 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 104775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125825280).

104775680 is an abundant number, since it is smaller than the sum of its proper divisors (146874880).

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

104775680 is an frugal number, since it uses more digits than its factorization.

104775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 104775680 is about 10235.9992184447. Note that the first 3 decimals coincide. The cubic root of 104775680 is about 471.4331987827.

The spelling of 104775680 in words is "one hundred four million, seven hundred seventy-five thousand, six hundred eighty".