104768346144 has 192 divisors, whose sum is σ = 349348930560. Its totient is φ = 26699013120.

The previous prime is 104768346143. The next prime is 104768346161. The reversal of 104768346144 is 441643867401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 104768346093 and 104768346102.

It is not an unprimeable number, because it can be changed into a prime (104768346143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258067 + ... + 525485.

It is an arithmetic number, because the mean of its divisors is an integer number (1819525680).

Almost surely, 2^104768346144 is an apocalyptic number.

104768346144 is a gapful number since it is divisible by the number (14) 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 104768346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174674465280).

104768346144 is an abundant number, since it is smaller than the sum of its proper divisors (244580584416).

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

104768346144 is a wasteful number, since it uses less digits than its factorization.

104768346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267503 (or 267495 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 104768346144 in words is "one hundred four billion, seven hundred sixty-eight million, three hundred forty-six thousand, one hundred forty-four".