100213248 has 80 divisors (see below), whose sum is σ = 272232576. Its totient is φ = 32747520.

The previous prime is 100213247. The next prime is 100213261. The reversal of 100213248 is 842312001.

It is not an unprimeable number, because it can be changed into a prime (100213247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80793 + ... + 82023.

Almost surely, 2^100213248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

100213248 is an abundant number, since it is smaller than the sum of its proper divisors (172019328).

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

100213248 is an equidigital number, since it uses as much as digits as its factorization.

100213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100213248 is about 10010.6567217141. The cubic root of 100213248 is about 464.4885856229.

Adding to 100213248 its reverse (842312001), we get a palindrome (942525249).

The spelling of 100213248 in words is "one hundred million, two hundred thirteen thousand, two hundred forty-eight".