104434431300 has 144 divisors (see below), whose sum is σ = 336401385600. Its totient is φ = 27794102400.

The previous prime is 104434431223. The next prime is 104434431383. The reversal of 104434431300 is 3134434401.

104434431300 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 344 + 313 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336305 + ... + 1412295.

Almost surely, 2^104434431300 is an apocalyptic number.

104434431300 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 104434431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168200692800).

104434431300 is an abundant number, since it is smaller than the sum of its proper divisors (231966954300).

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

104434431300 is a wasteful number, since it uses less digits than its factorization.

104434431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76523 (or 76510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 104434431300 its reverse (3134434401), we get a palindrome (107568865701).

The spelling of 104434431300 in words is "one hundred four billion, four hundred thirty-four million, four hundred thirty-one thousand, three hundred".