10059419104 has 192 divisors, whose sum is σ = 24523140096. Its totient is φ = 3968262144.

The previous prime is 10059419099. The next prime is 10059419107. The reversal of 10059419104 is 40191495001.

10059419104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10059419104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059419107) 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, 21540279 + ... + 21540745.

It is an arithmetic number, because the mean of its divisors is an integer number (127724688).

Almost surely, 2^10059419104 is an apocalyptic number.

10059419104 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 10059419104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261570048).

10059419104 is an abundant number, since it is smaller than the sum of its proper divisors (14463720992).

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

10059419104 is a wasteful number, since it uses less digits than its factorization.

10059419104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 10059419104 in words is "ten billion, fifty-nine million, four hundred nineteen thousand, one hundred four".