104434000000 has 448 divisors, whose sum is σ = 292608754560. Its totient is φ = 36800000000.

The previous prime is 104433999913. The next prime is 104434000001. The reversal of 104434000000 is 434401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (104434000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1033999950 + ... + 1034000050.

Almost surely, 2^104434000000 is an apocalyptic number.

104434000000 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 104434000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304377280).

104434000000 is an abundant number, since it is smaller than the sum of its proper divisors (188174754560).

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

104434000000 is an frugal number, since it uses more digits than its factorization.

104434000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 104434000000 its reverse (434401), we get a palindrome (104434434401).

The spelling of 104434000000 in words is "one hundred four billion, four hundred thirty-four million", and thus it is an aban number.