104905830528 has 192 divisors, whose sum is σ = 313650581400. Its totient is φ = 33615396864.

The previous prime is 104905830517. The next prime is 104905830559. The reversal of 104905830528 is 825038509401.

104905830528 is a `hidden beast` number, since 1 + 0 + 4 + 90 + 5 + 8 + 30 + 528 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85549230144 + 19356600384 = 292488^2 + 139128^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×104905830528³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7777326 + ... + 7790802.

Almost surely, 2^104905830528 is an apocalyptic number.

104905830528 is a gapful number since it is divisible by the number (18) 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 104905830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156825290700).

104905830528 is an abundant number, since it is smaller than the sum of its proper divisors (208744750872).

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

104905830528 is a wasteful number, since it uses less digits than its factorization.

104905830528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13759 (or 13744 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 104905830528 in words is "one hundred four billion, nine hundred five million, eight hundred thirty thousand, five hundred twenty-eight".