104350321152 has 960 divisors, whose sum is σ = 397106012160. Its totient is φ = 25590988800.

The previous prime is 104350321133. The next prime is 104350321157. The reversal of 104350321152 is 251123053401.

104350321152 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 503 + 2 + 1 + 152 = 666.

104350321152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (104350321157) 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 95 ways as a sum of consecutive naturals, for example, 582962599 + ... + 582962777.

It is an arithmetic number, because the mean of its divisors is an integer number (413652096).

Almost surely, 2^104350321152 is an apocalyptic number.

104350321152 is a gapful number since it is divisible by the number (12) 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 104350321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198553006080).

104350321152 is an abundant number, since it is smaller than the sum of its proper divisors (292755691008).

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

104350321152 is a wasteful number, since it uses less digits than its factorization.

104350321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 104350321152 its reverse (251123053401), we get a palindrome (355473374553).

The spelling of 104350321152 in words is "one hundred four billion, three hundred fifty million, three hundred twenty-one thousand, one hundred fifty-two".