104080128768 has 576 divisors, whose sum is σ = 386357207040. Its totient is φ = 26848972800.

The previous prime is 104080128767. The next prime is 104080128769. The reversal of 104080128768 is 867821080401.

It is an interprime number because it is at equal distance from previous prime (104080128767) and next prime (104080128769).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×104080128768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104080128767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88880823 + ... + 88881993.

It is an arithmetic number, because the mean of its divisors is an integer number (670759040).

Almost surely, 2^104080128768 is an apocalyptic number.

104080128768 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 104080128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193178603520).

104080128768 is an abundant number, since it is smaller than the sum of its proper divisors (282277078272).

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

104080128768 is a wasteful number, since it uses less digits than its factorization.

104080128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 104080128768 in words is "one hundred four billion, eighty million, one hundred twenty-eight thousand, seven hundred sixty-eight".