104242143200 has 288 divisors, whose sum is σ = 281591976960. Its totient is φ = 37445990400.

The previous prime is 104242143199. The next prime is 104242143263. The reversal of 104242143200 is 2341242401.

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 47 ways as a sum of consecutive naturals, for example, 58332707 + ... + 58334493.

It is an arithmetic number, because the mean of its divisors is an integer number (977749920).

Almost surely, 2^104242143200 is an apocalyptic number.

104242143200 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 104242143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140795988480).

104242143200 is an abundant number, since it is smaller than the sum of its proper divisors (177349833760).

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

104242143200 is a wasteful number, since it uses less digits than its factorization.

104242143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 104242143200 its reverse (2341242401), we get a palindrome (106583385601).

The spelling of 104242143200 in words is "one hundred four billion, two hundred forty-two million, one hundred forty-three thousand, two hundred".