1032125600 has 144 divisors (see below), whose sum is σ = 2893877280. Its totient is φ = 355507200.

The previous prime is 1032125597. The next prime is 1032125629. The reversal of 1032125600 is 65212301.

1032125600 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164114 + ... + 170286.

It is an arithmetic number, because the mean of its divisors is an integer number (20096370).

Almost surely, 2^1032125600 is an apocalyptic number.

1032125600 is a gapful number since it is divisible by the number (10) 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 1032125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446938640).

1032125600 is an abundant number, since it is smaller than the sum of its proper divisors (1861751680).

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

1032125600 is a wasteful number, since it uses less digits than its factorization.

1032125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1032125600 is about 32126.7116275538. The cubic root of 1032125600 is about 1010.5958644491.

Adding to 1032125600 its reverse (65212301), we get a palindrome (1097337901).

The spelling of 1032125600 in words is "one billion, thirty-two million, one hundred twenty-five thousand, six hundred".