104737723009920 has 768 divisors, whose sum is σ = 485602197050880. Its totient is φ = 20089552158720.

The previous prime is 104737723009867. The next prime is 104737723009939. The reversal of 104737723009920 is 29900327737401.

104737723009920 is a `hidden beast` number, since 10 + 4 + 7 + 377 + 230 + 0 + 9 + 9 + 20 = 666.

It is a super-3 number, since 3×104737723009920³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3316974 + ... + 14848493.

It is an arithmetic number, because the mean of its divisors is an integer number (632294527410).

Almost surely, 2^{104737723009920} is an apocalyptic number.

104737723009920 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 104737723009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242801098525440).

104737723009920 is an abundant number, since it is smaller than the sum of its proper divisors (380864474040960).

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

104737723009920 is a wasteful number, since it uses less digits than its factorization.

104737723009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18165523 (or 18165508 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 104737723009920 in words is "one hundred four trillion, seven hundred thirty-seven billion, seven hundred twenty-three million, nine thousand, nine hundred twenty".