10253103312 has 160 divisors (see below), whose sum is σ = 27429494400. Its totient is φ = 3299180544.

The previous prime is 10253103299. The next prime is 10253103347. The reversal of 10253103312 is 21330135201.

It is a super-2 number, since 2×10253103312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45167743 + ... + 45167969.

It is an arithmetic number, because the mean of its divisors is an integer number (171434340).

Almost surely, 2^10253103312 is an apocalyptic number.

10253103312 is a gapful number since it is divisible by the number (12) 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 10253103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714747200).

10253103312 is an abundant number, since it is smaller than the sum of its proper divisors (17176391088).

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

10253103312 is a wasteful number, since it uses less digits than its factorization.

10253103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 10253103312 its reverse (21330135201), we get a palindrome (31583238513).

The spelling of 10253103312 in words is "ten billion, two hundred fifty-three million, one hundred three thousand, three hundred twelve".