10223507052 has 72 divisors (see below), whose sum is σ = 28316538432. Its totient is φ = 3084357600.

The previous prime is 10223507033. The next prime is 10223507093. The reversal of 10223507052 is 25070532201.

10223507052 is a `hidden beast` number, since 102 + 2 + 3 + 507 + 0 + 52 = 666.

10223507052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33027 + ... + 146757.

It is an arithmetic number, because the mean of its divisors is an integer number (393285256).

Almost surely, 2^10223507052 is an apocalyptic number.

10223507052 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 10223507052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158269216).

10223507052 is an abundant number, since it is smaller than the sum of its proper divisors (18093031380).

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

10223507052 is a wasteful number, since it uses less digits than its factorization.

10223507052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113979 (or 113974 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 10223507052 in words is "ten billion, two hundred twenty-three million, five hundred seven thousand, fifty-two".