10052023104 has 224 divisors, whose sum is σ = 30689702400. Its totient is φ = 3224033280.

The previous prime is 10052023103. The next prime is 10052023117. The reversal of 10052023104 is 40132025001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052023103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4953162 + ... + 4955190.

It is an arithmetic number, because the mean of its divisors is an integer number (137007600).

Almost surely, 2^10052023104 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 10052023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344851200).

10052023104 is an abundant number, since it is smaller than the sum of its proper divisors (20637679296).

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

10052023104 is a wasteful number, since it uses less digits than its factorization.

10052023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10052023104 its reverse (40132025001), we get a palindrome (50184048105).

The spelling of 10052023104 in words is "ten billion, fifty-two million, twenty-three thousand, one hundred four".