100332400 has 90 divisors (see below), whose sum is σ = 280458240. Its totient is φ = 34392960.

The previous prime is 100332377. The next prime is 100332469. The reversal of 100332400 is 4233001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17041 + ... + 22159.

Almost surely, 2^100332400 is an apocalyptic number.

100332400 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 100332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140229120).

100332400 is an abundant number, since it is smaller than the sum of its proper divisors (180125840).

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

100332400 is a wasteful number, since it uses less digits than its factorization.

100332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 100332400 is about 10016.6062116867. The cubic root of 100332400 is about 464.6726026229.

Adding to 100332400 its reverse (4233001), we get a palindrome (104565401).

The spelling of 100332400 in words is "one hundred million, three hundred thirty-two thousand, four hundred".