10230552024 has 192 divisors, whose sum is σ = 33577286400. Its totient is φ = 2565561600.

The previous prime is 10230552011. The next prime is 10230552041. The reversal of 10230552024 is 42025503201.

10230552024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10230551985 and 10230552003.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 361509 + ... + 388779.

It is an arithmetic number, because the mean of its divisors is an integer number (174881700).

Almost surely, 2^10230552024 is an apocalyptic number.

10230552024 is a gapful number since it is divisible by the number (14) 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 10230552024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788643200).

10230552024 is an abundant number, since it is smaller than the sum of its proper divisors (23346734376).

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

10230552024 is a wasteful number, since it uses less digits than its factorization.

10230552024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27334 (or 27323 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 10230552024 in words is "ten billion, two hundred thirty million, five hundred fifty-two thousand, twenty-four".