10332100 has 36 divisors (see below), whose sum is σ = 22561924. Its totient is φ = 4106880.

The previous prime is 10332071. The next prime is 10332103. The reversal of 10332100 is 123301.

It can be written as a sum of positive squares in 6 ways, for example, as 894916 + 9437184 = 946^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10332103) 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 11 ways as a sum of consecutive naturals, for example, 27514 + ... + 27886.

Almost surely, 2^10332100 is an apocalyptic number.

10332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332100 is an abundant number, since it is smaller than the sum of its proper divisors (12229824).

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

10332100 is a wasteful number, since it uses less digits than its factorization.

10332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10332100 is about 3214.3584118763. The cubic root of 10332100 is about 217.8025032858.

Adding to 10332100 its reverse (123301), we get a palindrome (10455401).

The spelling of 10332100 in words is "ten million, three hundred thirty-two thousand, one hundred".