100224012 has 72 divisors (see below), whose sum is σ = 286386240. Its totient is φ = 27125280.

The previous prime is 100223987. The next prime is 100224043. The reversal of 100224012 is 210422001.

It is a super-2 number, since 2×100224012² = 20089705162752288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 6687 + ... + 15657.

Almost surely, 2^100224012 is an apocalyptic number.

100224012 is a gapful number since it is divisible by the number (12) 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 100224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143193120).

100224012 is an abundant number, since it is smaller than the sum of its proper divisors (186162228).

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

100224012 is a wasteful number, since it uses less digits than its factorization.

100224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100224012 is about 10011.1943343439. The cubic root of 100224012 is about 464.5052154140.

Adding to 100224012 its reverse (210422001), we get a palindrome (310646013).

The spelling of 100224012 in words is "one hundred million, two hundred twenty-four thousand, twelve".