104430034401 has 32 divisors (see below), whose sum is σ = 179584128000. Its totient is φ = 52378697280.

The previous prime is 104430034367. The next prime is 104430034409.

104430034401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104430034401 - 2¹⁹ = 104429510113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104430034409) 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 31 ways as a sum of consecutive naturals, for example, 7787751 + ... + 7801148.

It is an arithmetic number, because the mean of its divisors is an integer number (5612004000).

Almost surely, 2^104430034401 is an apocalyptic number.

104430034401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104430034401 is a deficient number, since it is larger than the sum of its proper divisors (75154093599).

104430034401 is a wasteful number, since it uses less digits than its factorization.

104430034401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588949.

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

It can be divided in two parts, 1044300 and 34401, that added together give a palindrome (1078701).

The spelling of 104430034401 in words is "one hundred four billion, four hundred thirty million, thirty-four thousand, four hundred one".