10132300024 has 128 divisors (see below), whose sum is σ = 24570086400. Its totient is φ = 3801047040.

The previous prime is 10132300007. The next prime is 10132300027. The reversal of 10132300024 is 42000323101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10132299980 and 10132300007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132300027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10307037 + ... + 10308019.

It is an arithmetic number, because the mean of its divisors is an integer number (191953800).

Almost surely, 2^10132300024 is an apocalyptic number.

10132300024 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 10132300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285043200).

10132300024 is an abundant number, since it is smaller than the sum of its proper divisors (14437786376).

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

10132300024 is a wasteful number, since it uses less digits than its factorization.

10132300024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10132300024 its reverse (42000323101), we get a palindrome (52132623125).

The spelling of 10132300024 in words is "ten billion, one hundred thirty-two million, three hundred thousand, twenty-four".