104164007729928 has 128 divisors (see below), whose sum is σ = 274852105958400. Its totient is φ = 32805569389824.

The previous prime is 104164007729927. The next prime is 104164007729953. The reversal of 104164007729928 is 829927700461401.

It is a Cunningham number, because it is equal to 10206077²-1.

It is not an unprimeable number, because it can be changed into a prime (104164007729927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163447901 + ... + 1163537427.

It is an arithmetic number, because the mean of its divisors is an integer number (2147282077800).

Almost surely, 2^{104164007729928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104164007729928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137426052979200).

104164007729928 is an abundant number, since it is smaller than the sum of its proper divisors (170688098228472).

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

104164007729928 is a wasteful number, since it uses less digits than its factorization.

104164007729928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96379 (or 96375 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 104164007729928 in words is "one hundred four trillion, one hundred sixty-four billion, seven million, seven hundred twenty-nine thousand, nine hundred twenty-eight".