10432100 has 54 divisors (see below), whose sum is σ = 26345970. Its totient is φ = 3575040.

The previous prime is 10432099. The next prime is 10432117. The reversal of 10432100 is 123401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 153664 + 10278436 = 392^2 + 3206^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3836 + ... + 5964.

Almost surely, 2^10432100 is an apocalyptic number.

10432100 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 10432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172985).

10432100 is an abundant number, since it is smaller than the sum of its proper divisors (15913870).

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

10432100 is a wasteful number, since it uses less digits than its factorization.

10432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10432100 is about 3229.8761586166. The cubic root of 10432100 is about 218.5029210284.

Adding to 10432100 its reverse (123401), we get a palindrome (10555501).

The spelling of 10432100 in words is "ten million, four hundred thirty-two thousand, one hundred".