104623732717920 has 1152 divisors, whose sum is σ = 393557677793280. Its totient is φ = 25155501834240.

The previous prime is 104623732717891. The next prime is 104623732717921. The reversal of 104623732717920 is 29717237326401.

104623732717920 is a `hidden beast` number, since 1 + 0 + 4 + 62 + 373 + 27 + 179 + 20 = 666.

It is a super-2 number, since 2×104623732717920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104623732717921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49561217665 + ... + 49561219775.

It is an arithmetic number, because the mean of its divisors is an integer number (341629928640).

Almost surely, 2^{104623732717920} is an apocalyptic number.

104623732717920 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 104623732717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196778838896640).

104623732717920 is an abundant number, since it is smaller than the sum of its proper divisors (288933945075360).

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

104623732717920 is a wasteful number, since it uses less digits than its factorization.

104623732717920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 104623732717920 in words is "one hundred four trillion, six hundred twenty-three billion, seven hundred thirty-two million, seven hundred seventeen thousand, nine hundred twenty".