104680000 has 70 divisors (see below), whose sum is σ = 259671566. Its totient is φ = 41856000.

The previous prime is 104679961. The next prime is 104680001. The reversal of 104680000 is 86401.

It can be written as a sum of positive squares in 5 ways, for example, as 13133376 + 91546624 = 3624^2 + 9568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104680000.

It is not an unprimeable number, because it can be changed into a prime (104680001) 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 9 ways as a sum of consecutive naturals, for example, 38692 + ... + 41308.

Almost surely, 2^104680000 is an apocalyptic number.

104680000 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 104680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129835783).

104680000 is an abundant number, since it is smaller than the sum of its proper divisors (154991566).

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

104680000 is an frugal number, since it uses more digits than its factorization.

104680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 104680000 is about 10231.3244499429. The cubic root of 104680000 is about 471.2896525394.

The spelling of 104680000 in words is "one hundred four million, six hundred eighty thousand".