104193503029728 has 864 divisors, whose sum is σ = 378918300983040. Its totient is φ = 26525146152960.

The previous prime is 104193503029727. The next prime is 104193503029787. The reversal of 104193503029728 is 827920305391401.

104193503029728 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 93 + 503 + 0 + 29 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104193503029723) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23036368075 + ... + 23036372597.

It is an arithmetic number, because the mean of its divisors is an integer number (438562848360).

Almost surely, 2^{104193503029728} is an apocalyptic number.

104193503029728 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 104193503029728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189459150491520).

104193503029728 is an abundant number, since it is smaller than the sum of its proper divisors (274724797953312).

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

104193503029728 is a wasteful number, since it uses less digits than its factorization.

104193503029728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6680 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 104193503029728 in words is "one hundred four trillion, one hundred ninety-three billion, five hundred three million, twenty-nine thousand, seven hundred twenty-eight".