104010144000 has 432 divisors, whose sum is σ = 401891083776. Its totient is φ = 23772672000.

The previous prime is 104010143999. The next prime is 104010144011. The reversal of 104010144000 is 441010401.

It is a super-2 number, since 2×104010144000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 4692945 + ... + 4715055.

Almost surely, 2^104010144000 is an apocalyptic number.

104010144000 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 104010144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200945541888).

104010144000 is an abundant number, since it is smaller than the sum of its proper divisors (297880939776).

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

104010144000 is an equidigital number, since it uses as much as digits as its factorization.

104010144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22159 (or 22128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 104010144000 its reverse (441010401), we get a palindrome (104451154401).

The spelling of 104010144000 in words is "one hundred four billion, ten million, one hundred forty-four thousand".