10104433024 has 64 divisors (see below), whose sum is σ = 23032742400. Its totient is φ = 4325368320.

The previous prime is 10104433019. The next prime is 10104433049. The reversal of 10104433024 is 42033440101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10104432986 and 10104433004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 810067 + ... + 822445.

It is an arithmetic number, because the mean of its divisors is an integer number (359886600).

Almost surely, 2^10104433024 is an apocalyptic number.

10104433024 is a gapful number since it is divisible by the number (14) 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 10104433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516371200).

10104433024 is an abundant number, since it is smaller than the sum of its proper divisors (12928309376).

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

10104433024 is an equidigital number, since it uses as much as digits as its factorization.

10104433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13299 counting only the distinct ones).

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

Adding to 10104433024 its reverse (42033440101), we get a palindrome (52137873125).

The spelling of 10104433024 in words is "ten billion, one hundred four million, four hundred thirty-three thousand, twenty-four".