104063792817600 has 2016 divisors, whose sum is σ = 497263343109120. Its totient is φ = 20683319500800.

The previous prime is 104063792817587. The next prime is 104063792817613. The reversal of 104063792817600 is 6718297360401.

104063792817600 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 3 + 7 + 9 + 28 + 1 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (104063792817587) and next prime (104063792817613).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 841517374 + ... + 841641026.

It is an arithmetic number, because the mean of its divisors is an integer number (246658404320).

Almost surely, 2^{104063792817600} is an apocalyptic number.

104063792817600 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 104063792817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248631671554560).

104063792817600 is an abundant number, since it is smaller than the sum of its proper divisors (393199550291520).

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

104063792817600 is a wasteful number, since it uses less digits than its factorization.

104063792817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123736 (or 123704 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 104063792817600 in words is "one hundred four trillion, sixty-three billion, seven hundred ninety-two million, eight hundred seventeen thousand, six hundred".