100233216 has 78 divisors (see below), whose sum is σ = 289633760. Its totient is φ = 33398784.

The previous prime is 100233197. The next prime is 100233247. The reversal of 100233216 is 612332001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35505 + ... + 38223.

Almost surely, 2^100233216 is an apocalyptic number.

100233216 is a gapful number since it is divisible by the number (16) 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 100233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144816880).

100233216 is an abundant number, since it is smaller than the sum of its proper divisors (189400544).

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

100233216 is an equidigital number, since it uses as much as digits as its factorization.

100233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 100233216 is about 10011.6540092035. The cubic root of 100233216 is about 464.5194341461.

Adding to 100233216 its reverse (612332001), we get a palindrome (712565217).

The spelling of 100233216 in words is "one hundred million, two hundred thirty-three thousand, two hundred sixteen".