100321200 has 240 divisors, whose sum is σ = 408386560. Its totient is φ = 22913280.

The previous prime is 100321189. The next prime is 100321201. The reversal of 100321200 is 2123001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100321201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74937 + ... + 76263.

Almost surely, 2^100321200 is an apocalyptic number.

100321200 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 100321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204193280).

100321200 is an abundant number, since it is smaller than the sum of its proper divisors (308065360).

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

100321200 is a wasteful number, since it uses less digits than its factorization.

100321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100321200 is about 10016.0471244898. The cubic root of 100321200 is about 464.6553116753.

Adding to 100321200 its reverse (2123001), we get a palindrome (102444201).

The spelling of 100321200 in words is "one hundred million, three hundred twenty-one thousand, two hundred".