104519600 has 60 divisors (see below), whose sum is σ = 259239360. Its totient is φ = 40454400.

The previous prime is 104519581. The next prime is 104519609. The reversal of 104519600 is 6915401.

It is a self number, because there is not a number n which added to its sum of digits gives 104519600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104519609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8186 + ... + 16614.

It is an arithmetic number, because the mean of its divisors is an integer number (4320656).

Almost surely, 2^104519600 is an apocalyptic number.

104519600 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 104519600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129619680).

104519600 is an abundant number, since it is smaller than the sum of its proper divisors (154719760).

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

104519600 is a wasteful number, since it uses less digits than its factorization.

104519600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 104519600 is about 10223.4827725194. The cubic root of 104519600 is about 471.0488121871.

The spelling of 104519600 in words is "one hundred four million, five hundred nineteen thousand, six hundred".