10432900 has 81 divisors (see below), whose sum is σ = 25381839. Its totient is φ = 3720960.

The previous prime is 10432889. The next prime is 10432907. The reversal of 10432900 is 923401.

The square root of 10432900 is 3230.

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 244036 + 10188864 = 494^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10432907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 549091 + ... + 549109.

Almost surely, 2^10432900 is an apocalyptic number.

10432900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10432900 is the 3230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432900

10432900 is an abundant number, since it is smaller than the sum of its proper divisors (14948939).

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

10432900 is a wasteful number, since it uses less digits than its factorization.

10432900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 10432900 is about 218.5085062851.

The spelling of 10432900 in words is "ten million, four hundred thirty-two thousand, nine hundred".