104068153728 has 1024 divisors, whose sum is σ = 408913920000. Its totient is φ = 25780930560.

The previous prime is 104068153663. The next prime is 104068153729. The reversal of 104068153728 is 827351860401.

104068153728 is a `hidden beast` number, since 10 + 4 + 0 + 6 + 81 + 537 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104068153729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 299908051 + ... + 299908397.

It is an arithmetic number, because the mean of its divisors is an integer number (399330000).

Almost surely, 2^104068153728 is an apocalyptic number.

104068153728 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 104068153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204456960000).

104068153728 is an abundant number, since it is smaller than the sum of its proper divisors (304845766272).

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

104068153728 is a wasteful number, since it uses less digits than its factorization.

104068153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 104068153728 in words is "one hundred four billion, sixty-eight million, one hundred fifty-three thousand, seven hundred twenty-eight".