104343144210432 has 672 divisors, whose sum is σ = 323251007040000. Its totient is φ = 32333137182720.

The previous prime is 104343144210421. The next prime is 104343144210433. The reversal of 104343144210432 is 234012441343401.

104343144210432 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 3 + 1 + 4 + 4 + 210 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104343144210433) by changing a digit.

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, 43494431569 + ... + 43494433967.

Almost surely, 2^{104343144210432} is an apocalyptic number.

104343144210432 is a gapful number since it is divisible by the number (12) 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 104343144210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161625503520000).

104343144210432 is an abundant number, since it is smaller than the sum of its proper divisors (218907862829568).

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

104343144210432 is a wasteful number, since it uses less digits than its factorization.

104343144210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 104343144210432 its reverse (234012441343401), we get a palindrome (338355585553833).

The spelling of 104343144210432 in words is "one hundred four trillion, three hundred forty-three billion, one hundred forty-four million, two hundred ten thousand, four hundred thirty-two".