104624135420032 has 128 divisors (see below), whose sum is σ = 216040328064000. Its totient is φ = 50437050753024.

The previous prime is 104624135420009. The next prime is 104624135420239. The reversal of 104624135420032 is 230024531426401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 104624135419973 and 104624135420000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152291628 + ... + 1152382420.

It is an arithmetic number, because the mean of its divisors is an integer number (1687815063000).

Almost surely, 2^{104624135420032} 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 104624135420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108020164032000).

104624135420032 is an abundant number, since it is smaller than the sum of its proper divisors (111416192643968).

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

104624135420032 is an equidigital number, since it uses as much as digits as its factorization.

104624135420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93798 (or 93786 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 104624135420032 its reverse (230024531426401), we get a palindrome (334648666846433).

The spelling of 104624135420032 in words is "one hundred four trillion, six hundred twenty-four billion, one hundred thirty-five million, four hundred twenty thousand, thirty-two".