10500310352 has 120 divisors (see below), whose sum is σ = 24315220512. Its totient is φ = 4377542400.

The previous prime is 10500310351. The next prime is 10500310363. The reversal of 10500310352 is 25301300501.

It is a super-2 number, since 2×10500310352² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500310351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11158202 + ... + 11159142.

Almost surely, 2^10500310352 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 10500310352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157610256).

10500310352 is an abundant number, since it is smaller than the sum of its proper divisors (13814910160).

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

10500310352 is a wasteful number, since it uses less digits than its factorization.

10500310352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 10500310352 its reverse (25301300501), we get a palindrome (35801610853).

The spelling of 10500310352 in words is "ten billion, five hundred million, three hundred ten thousand, three hundred fifty-two".