104520351744 has 216 divisors, whose sum is σ = 304008285672. Its totient is φ = 34603008000.

The previous prime is 104520351721. The next prime is 104520351757. The reversal of 104520351744 is 447153025401.

104520351744 is a `hidden beast` number, since 1 + 0 + 452 + 0 + 35 + 174 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104520351699 and 104520351708.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 296091472 + ... + 296091824.

It is an arithmetic number, because the mean of its divisors is an integer number (1407445767).

Almost surely, 2^104520351744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104520351744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152004142836).

104520351744 is an abundant number, since it is smaller than the sum of its proper divisors (199487933928).

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

104520351744 is an frugal number, since it uses more digits than its factorization.

104520351744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 104520351744 in words is "one hundred four billion, five hundred twenty million, three hundred fifty-one thousand, seven hundred forty-four".