100223200 has 144 divisors (see below), whose sum is σ = 305230464. Its totient is φ = 31219200.

The previous prime is 100223197. The next prime is 100223219. The reversal of 100223200 is 2322001.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60787 + ... + 62413.

It is an arithmetic number, because the mean of its divisors is an integer number (2119656).

Almost surely, 2^100223200 is an apocalyptic number.

100223200 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 100223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152615232).

100223200 is an abundant number, since it is smaller than the sum of its proper divisors (205007264).

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

100223200 is a wasteful number, since it uses less digits than its factorization.

100223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 100223200 is about 10011.1537796600. The cubic root of 100223200 is about 464.5039609600.

Adding to 100223200 its reverse (2322001), we get a palindrome (102545201).

The spelling of 100223200 in words is "one hundred million, two hundred twenty-three thousand, two hundred".