104310431203200 has 384 divisors, whose sum is σ = 355464085672800. Its totient is φ = 26853593088000.

The previous prime is 104310431203189. The next prime is 104310431203207. The reversal of 104310431203200 is 2302134013401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104310431203207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2867780214 + ... + 2867816586.

Almost surely, 2^{104310431203200} is an apocalyptic number.

104310431203200 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 104310431203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177732042836400).

104310431203200 is an abundant number, since it is smaller than the sum of its proper divisors (251153654469600).

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

104310431203200 is a wasteful number, since it uses less digits than its factorization.

104310431203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46730 (or 46713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 104310431203200 its reverse (2302134013401), we get a palindrome (106612565216601).

The spelling of 104310431203200 in words is "one hundred four trillion, three hundred ten billion, four hundred thirty-one million, two hundred three thousand, two hundred".