104825760 has 192 divisors, whose sum is σ = 361210752. Its totient is φ = 25399296.

The previous prime is 104825753. The next prime is 104825767. The reversal of 104825760 is 67528401.

It is an interprime number because it is at equal distance from previous prime (104825753) and next prime (104825767).

It is not an unprimeable number, because it can be changed into a prime (104825767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667602 + ... + 667758.

It is an arithmetic number, because the mean of its divisors is an integer number (1881306).

Almost surely, 2^104825760 is an apocalyptic number.

104825760 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 104825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180605376).

104825760 is an abundant number, since it is smaller than the sum of its proper divisors (256384992).

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

104825760 is a wasteful number, since it uses less digits than its factorization.

104825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 104825760 is about 10238.4451944619. The cubic root of 104825760 is about 471.5082976798.

The spelling of 104825760 in words is "one hundred four million, eight hundred twenty-five thousand, seven hundred sixty".