10263105552 has 160 divisors (see below), whose sum is σ = 30920520960. Its totient is φ = 2872719360.

The previous prime is 10263105533. The next prime is 10263105623. The reversal of 10263105552 is 25550136201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6004474 + ... + 6006182.

It is an arithmetic number, because the mean of its divisors is an integer number (193253256).

Almost surely, 2^10263105552 is an apocalyptic number.

10263105552 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 10263105552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460260480).

10263105552 is an abundant number, since it is smaller than the sum of its proper divisors (20657415408).

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

10263105552 is a wasteful number, since it uses less digits than its factorization.

10263105552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10263105552 in words is "ten billion, two hundred sixty-three million, one hundred five thousand, five hundred fifty-two".