104349600000 has 432 divisors, whose sum is σ = 385780308480. Its totient is φ = 27820800000.

The previous prime is 104349599993. The next prime is 104349600011. The reversal of 104349600000 is 6943401.

104349600000 is a `hidden beast` number, since 10 + 4 + 3 + 49 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21597585 + ... + 21602415.

Almost surely, 2^104349600000 is an apocalyptic number.

104349600000 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 104349600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192890154240).

104349600000 is an abundant number, since it is smaller than the sum of its proper divisors (281430708480).

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

104349600000 is an frugal number, since it uses more digits than its factorization.

104349600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 104349600000 in words is "one hundred four billion, three hundred forty-nine million, six hundred thousand".