104434010032 has 60 divisors (see below), whose sum is σ = 222576097968. Its totient is φ = 47434076800.

The previous prime is 104434010029. The next prime is 104434010033. The reversal of 104434010032 is 230010434401.

It is a super-3 number, since 3×104434010032³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 104434009985 and 104434010012.

It is not an unprimeable number, because it can be changed into a prime (104434010033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2626782 + ... + 2666242.

Almost surely, 2^104434010032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104434010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111288048984).

104434010032 is an abundant number, since it is smaller than the sum of its proper divisors (118142087936).

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

104434010032 is a wasteful number, since it uses less digits than its factorization.

104434010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40858 (or 40841 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 104434010032 its reverse (230010434401), we get a palindrome (334444444433).

The spelling of 104434010032 in words is "one hundred four billion, four hundred thirty-four million, ten thousand, thirty-two".