104519868640 has 96 divisors (see below), whose sum is σ = 269463602016. Its totient is φ = 37994895360.

The previous prime is 104519868631. The next prime is 104519868689. The reversal of 104519868640 is 46868915401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6773574 + ... + 6788986.

It is an arithmetic number, because the mean of its divisors is an integer number (2806912521).

Almost surely, 2^104519868640 is an apocalyptic number.

104519868640 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 104519868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134731801008).

104519868640 is an abundant number, since it is smaller than the sum of its proper divisors (164943733376).

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

104519868640 is a wasteful number, since it uses less digits than its factorization.

104519868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19292 (or 19284 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 104519868640 in words is "one hundred four billion, five hundred nineteen million, eight hundred sixty-eight thousand, six hundred forty".