100224891 has 64 divisors (see below), whose sum is σ = 168878080. Its totient is φ = 58320000.

The previous prime is 100224857. The next prime is 100224919. The reversal of 100224891 is 198422001.

It is not a de Polignac number, because 100224891 - 2¹⁵ = 100192123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100224391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 663666 + ... + 663816.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^100224891 is an apocalyptic number.

100224891 is a deficient number, since it is larger than the sum of its proper divisors (68653189).

100224891 is a wasteful number, since it uses less digits than its factorization.

100224891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100224891 is about 10011.2382351036. The cubic root of 100224891 is about 464.5065733683.

Adding to 100224891 its reverse (198422001), we get a palindrome (298646892).

The spelling of 100224891 in words is "one hundred million, two hundred twenty-four thousand, eight hundred ninety-one".