10059307104 has 384 divisors, whose sum is σ = 35204198400. Its totient is φ = 2436065280.

The previous prime is 10059307081. The next prime is 10059307127. The reversal of 10059307104 is 40170395001.

It is an interprime number because it is at equal distance from previous prime (10059307081) and next prime (10059307127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9409482 + ... + 9410550.

It is an arithmetic number, because the mean of its divisors is an integer number (91677600).

Almost surely, 2^10059307104 is an apocalyptic number.

10059307104 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 10059307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602099200).

10059307104 is an abundant number, since it is smaller than the sum of its proper divisors (25144891296).

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

10059307104 is a wasteful number, since it uses less digits than its factorization.

10059307104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10059307104 in words is "ten billion, fifty-nine million, three hundred seven thousand, one hundred four".