104430354600 has 384 divisors, whose sum is σ = 396874598400. Its totient is φ = 22352563200.

The previous prime is 104430354599. The next prime is 104430354671. The reversal of 104430354600 is 6453034401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1946941 + ... + 1999859.

It is an arithmetic number, because the mean of its divisors is an integer number (1033527600).

Almost surely, 2^104430354600 is an apocalyptic number.

104430354600 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 104430354600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198437299200).

104430354600 is an abundant number, since it is smaller than the sum of its proper divisors (292444243800).

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

104430354600 is a wasteful number, since it uses less digits than its factorization.

104430354600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52985 (or 52976 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

It can be divided in two parts, 1044303 and 54600, that added together give a triangular number (1098903 = T₁₄₈₂).

The spelling of 104430354600 in words is "one hundred four billion, four hundred thirty million, three hundred fifty-four thousand, six hundred".