104705887104 has 768 divisors, whose sum is σ = 384943104000. Its totient is φ = 26585874432.

The previous prime is 104705887073. The next prime is 104705887177. The reversal of 104705887104 is 401788507401.

104705887104 is a `hidden beast` number, since 10 + 47 + 0 + 588 + 7 + 10 + 4 = 666.

It is a super-3 number, since 3×104705887104³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104705887104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389241082 + ... + 389241350.

It is an arithmetic number, because the mean of its divisors is an integer number (501228000).

Almost surely, 2^104705887104 is an apocalyptic number.

104705887104 is a gapful number since it is divisible by the number (14) 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 104705887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552000).

104705887104 is an abundant number, since it is smaller than the sum of its proper divisors (280237216896).

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

104705887104 is a wasteful number, since it uses less digits than its factorization.

104705887104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 104705887104 in words is "one hundred four billion, seven hundred five million, eight hundred eighty-seven thousand, one hundred four".