10032025600 has 117 divisors (see below), whose sum is σ = 24956117643. Its totient is φ = 3999989760.

The previous prime is 10032025573. The next prime is 10032025607. The reversal of 10032025600 is 652023001.

It is a happy number.

The square root of 10032025600 is 100160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5635805184 + 4396220416 = 75072^2 + 66304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10032025607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32051044 + ... + 32051356.

Almost surely, 2^10032025600 is an apocalyptic number.

10032025600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10032025600 is the 100160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032025600

10032025600 is an abundant number, since it is smaller than the sum of its proper divisors (14924092043).

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

10032025600 is an frugal number, since it uses more digits than its factorization.

10032025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10032025600 its reverse (652023001), we get a palindrome (10684048601).

The spelling of 10032025600 in words is "ten billion, thirty-two million, twenty-five thousand, six hundred".