104075838720 has 1296 divisors, whose sum is σ = 455950010880. Its totient is φ = 21392916480.

The previous prime is 104075838701. The next prime is 104075838743. The reversal of 104075838720 is 27838570401.

104075838720 is a `hidden beast` number, since 1 + 0 + 40 + 7 + 583 + 8 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 1317415641 + ... + 1317415719.

It is an arithmetic number, because the mean of its divisors is an integer number (351813280).

Almost surely, 2^104075838720 is an apocalyptic number.

104075838720 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 104075838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227975005440).

104075838720 is an abundant number, since it is smaller than the sum of its proper divisors (351874172160).

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

104075838720 is a wasteful number, since it uses less digits than its factorization.

104075838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 104075838720 in words is "one hundred four billion, seventy-five million, eight hundred thirty-eight thousand, seven hundred twenty".