104136076800 has 1440 divisors, whose sum is σ = 453957641280. Its totient is φ = 22295347200.

The previous prime is 104136076777. The next prime is 104136076871. The reversal of 104136076800 is 8670631401.

104136076800 is a `hidden beast` number, since 1 + 0 + 41 + 3 + 607 + 6 + 8 + 0 + 0 = 666.

104136076800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1426521564 + ... + 1426521636.

It is an arithmetic number, because the mean of its divisors is an integer number (315248362).

Almost surely, 2^104136076800 is an apocalyptic number.

104136076800 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 104136076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226978820640).

104136076800 is an abundant number, since it is smaller than the sum of its proper divisors (349821564480).

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

104136076800 is a wasteful number, since it uses less digits than its factorization.

104136076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 104136076800 in words is "one hundred four billion, one hundred thirty-six million, seventy-six thousand, eight hundred".