104000510144000 has 320 divisors, whose sum is σ = 261845606880000. Its totient is φ = 41198257152000.

The previous prime is 104000510143993. The next prime is 104000510144017. The reversal of 104000510144000 is 441015000401.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×104000510144000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4183603571 + ... + 4183628429.

It is an arithmetic number, because the mean of its divisors is an integer number (818267521500).

Almost surely, 2^{104000510144000} is an apocalyptic number.

104000510144000 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 104000510144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130922803440000).

104000510144000 is an abundant number, since it is smaller than the sum of its proper divisors (157845096736000).

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

104000510144000 is an equidigital number, since it uses as much as digits as its factorization.

104000510144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25522 (or 25496 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 104000510144000 its reverse (441015000401), we get a palindrome (104441525144401).

The spelling of 104000510144000 in words is "one hundred four trillion, five hundred ten million, one hundred forty-four thousand".