104049479200 has 288 divisors, whose sum is σ = 281861959680. Its totient is φ = 37435904000.

The previous prime is 104049479159. The next prime is 104049479263. The reversal of 104049479200 is 2974940401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90398625 + ... + 90399775.

It is an arithmetic number, because the mean of its divisors is an integer number (978687360).

Almost surely, 2^104049479200 is an apocalyptic number.

104049479200 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 104049479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140930979840).

104049479200 is an abundant number, since it is smaller than the sum of its proper divisors (177812480480).

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

104049479200 is a wasteful number, since it uses less digits than its factorization.

104049479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 104049479200 in words is "one hundred four billion, forty-nine million, four hundred seventy-nine thousand, two hundred".