104528309760 has 1600 divisors, whose sum is σ = 465439924224. Its totient is φ = 21897216000.

The previous prime is 104528309747. The next prime is 104528309797. The reversal of 104528309760 is 67903825401.

104528309760 is a `hidden beast` number, since 1 + 0 + 4 + 528 + 30 + 97 + 6 + 0 = 666.

It is a super-2 number, since 2×104528309760² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1034933710 + ... + 1034933810.

It is a 1-persistent number, because it is pandigital, but 2⋅104528309760 = 209056619520 is not.

Almost surely, 2^104528309760 is an apocalyptic number.

104528309760 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 104528309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232719962112).

104528309760 is an abundant number, since it is smaller than the sum of its proper divisors (360911614464).

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

104528309760 is a wasteful number, since it uses less digits than its factorization.

104528309760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 104528309760 in words is "one hundred four billion, five hundred twenty-eight million, three hundred nine thousand, seven hundred sixty".