100432200 has 96 divisors (see below), whose sum is σ = 339665760. Its totient is φ = 24345600.

The previous prime is 100432187. The next prime is 100432201. The reversal of 100432200 is 2234001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100432201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009 + ... + 14208.

It is an arithmetic number, because the mean of its divisors is an integer number (3538185).

Almost surely, 2^100432200 is an apocalyptic number.

100432200 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 100432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169832880).

100432200 is an abundant number, since it is smaller than the sum of its proper divisors (239233560).

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

100432200 is a wasteful number, since it uses less digits than its factorization.

100432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15247 (or 15238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100432200 is about 10021.5867007176. The cubic root of 100432200 is about 464.8266205278.

Adding to 100432200 its reverse (2234001), we get a palindrome (102666201).

The spelling of 100432200 in words is "one hundred million, four hundred thirty-two thousand, two hundred".