10125334032 has 160 divisors (see below), whose sum is σ = 29004393600. Its totient is φ = 3018240000.

The previous prime is 10125334031. The next prime is 10125334117. The reversal of 10125334032 is 23043352101.

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 = 10125333993 and 10125334011.

It is not an unprimeable number, because it can be changed into a prime (10125334031) by changing a digit.

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, 9651844 + ... + 9652892.

It is an arithmetic number, because the mean of its divisors is an integer number (181277460).

Almost surely, 2^10125334032 is an apocalyptic number.

10125334032 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 10125334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502196800).

10125334032 is an abundant number, since it is smaller than the sum of its proper divisors (18879059568).

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

10125334032 is a wasteful number, since it uses less digits than its factorization.

10125334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10125334032 its reverse (23043352101), we get a palindrome (33168686133).

The spelling of 10125334032 in words is "ten billion, one hundred twenty-five million, three hundred thirty-four thousand, thirty-two".