104718575520 has 336 divisors, whose sum is σ = 399465381672. Its totient is φ = 25776506880.

The previous prime is 104718575513. The next prime is 104718575537. The reversal of 104718575520 is 25575817401.

104718575520 is a `hidden beast` number, since 1 + 0 + 4 + 71 + 8 + 57 + 5 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73308811536 + 31409763984 = 270756^2 + 177228^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1481790 + ... + 1550850.

Almost surely, 2^104718575520 is an apocalyptic number.

104718575520 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 104718575520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199732690836).

104718575520 is an abundant number, since it is smaller than the sum of its proper divisors (294746806152).

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

104718575520 is an equidigital number, since it uses as much as digits as its factorization.

104718575520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69107 (or 69084 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 104718575520 in words is "one hundred four billion, seven hundred eighteen million, five hundred seventy-five thousand, five hundred twenty".