104768449896 has 128 divisors (see below), whose sum is σ = 295832309760. Its totient is φ = 30631910400.

The previous prime is 104768449889. The next prime is 104768449909. The reversal of 104768449896 is 698944867401.

It is a super-2 number, since 2×104768449896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2739015 + ... + 2777001.

It is an arithmetic number, because the mean of its divisors is an integer number (2311189920).

Almost surely, 2^104768449896 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 104768449896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147916154880).

104768449896 is an abundant number, since it is smaller than the sum of its proper divisors (191063859864).

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

104768449896 is a wasteful number, since it uses less digits than its factorization.

104768449896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38375 (or 38371 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 104768449896 in words is "one hundred four billion, seven hundred sixty-eight million, four hundred forty-nine thousand, eight hundred ninety-six".