104075768160 has 384 divisors, whose sum is σ = 448328079360. Its totient is φ = 21958760448.

The previous prime is 104075768141. The next prime is 104075768179. The reversal of 104075768160 is 61867570401.

104075768160 is a `hidden beast` number, since 10 + 4 + 0 + 7 + 576 + 8 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (104075768141) and next prime (104075768179).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260749 + ... + 525491.

It is an arithmetic number, because the mean of its divisors is an integer number (1167521040).

Almost surely, 2^104075768160 is an apocalyptic number.

104075768160 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 104075768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224164039680).

104075768160 is an abundant number, since it is smaller than the sum of its proper divisors (344252311200).

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

104075768160 is a wasteful number, since it uses less digits than its factorization.

104075768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264787 (or 264773 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 104075768160 in words is "one hundred four billion, seventy-five million, seven hundred sixty-eight thousand, one hundred sixty".