434103004104 has 128 divisors (see below), whose sum is σ = 1353654650880. Its totient is φ = 112703500800.

The previous prime is 434103004087. The next prime is 434103004121. The reversal of 434103004104 is 401400301434.

It is an interprime number because it is at equal distance from previous prime (434103004087) and next prime (434103004121).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4163797 + ... + 4266779.

It is an arithmetic number, because the mean of its divisors is an integer number (10575426960).

Almost surely, 2^434103004104 is an apocalyptic number.

434103004104 is a gapful number since it is divisible by the number (44) 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 434103004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676827325440).

434103004104 is an abundant number, since it is smaller than the sum of its proper divisors (919551646776).

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

434103004104 is a wasteful number, since it uses less digits than its factorization.

434103004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105291 (or 105287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434103004104 its reverse (401400301434), we get a palindrome (835503305538).

The spelling of 434103004104 in words is "four hundred thirty-four billion, one hundred three million, four thousand, one hundred four".