100214320 has 80 divisors (see below), whose sum is σ = 254769408. Its totient is φ = 36495360.

The previous prime is 100214287. The next prime is 100214329. The reversal of 100214320 is 23412001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 100214320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100214329) 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 15 ways as a sum of consecutive naturals, for example, 40972 + ... + 43348.

Almost surely, 2^100214320 is an apocalyptic number.

100214320 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 100214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127384704).

100214320 is an abundant number, since it is smaller than the sum of its proper divisors (154555088).

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

100214320 is a wasteful number, since it uses less digits than its factorization.

100214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100214320 is about 10010.7102645117. The cubic root of 100214320 is about 464.4902418577.

Adding to 100214320 its reverse (23412001), we get a palindrome (123626321).

It can be divided in two parts, 10021 and 4320, that added together give a palindrome (14341).

The spelling of 100214320 in words is "one hundred million, two hundred fourteen thousand, three hundred twenty".