100213200 has 180 divisors, whose sum is σ = 360997728. Its totient is φ = 26697600.

The previous prime is 100213189. The next prime is 100213207. The reversal of 100213200 is 2312001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213207) 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 35 ways as a sum of consecutive naturals, for example, 96685 + ... + 97715.

Almost surely, 2^100213200 is an apocalyptic number.

100213200 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 100213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180498864).

100213200 is an abundant number, since it is smaller than the sum of its proper divisors (260784528).

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

100213200 is a wasteful number, since it uses less digits than its factorization.

100213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1041 counting only the distinct ones).

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

The square root of 100213200 is about 10010.6543242687. The cubic root of 100213200 is about 464.4885114629.

Adding to 100213200 its reverse (2312001), we get a palindrome (102525201).

The spelling of 100213200 in words is "one hundred million, two hundred thirteen thousand, two hundred".