100224520 has 64 divisors (see below), whose sum is σ = 260496000. Its totient is φ = 34298880.

The previous prime is 100224517. The next prime is 100224521. The reversal of 100224520 is 25422001.

It is a junction number, because it is equal to n+sod(n) for n = 100224494 and 100224503.

It is not an unprimeable number, because it can be changed into a prime (100224521) 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, 781 + ... + 14179.

It is an arithmetic number, because the mean of its divisors is an integer number (4070250).

Almost surely, 2^100224520 is an apocalyptic number.

100224520 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 100224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130248000).

100224520 is an abundant number, since it is smaller than the sum of its proper divisors (160271480).

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

100224520 is a wasteful number, since it uses less digits than its factorization.

100224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13438 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 100224520 is about 10011.2197059100. The cubic root of 100224520 is about 464.5060002168.

Adding to 100224520 its reverse (25422001), we get a palindrome (125646521).

The spelling of 100224520 in words is "one hundred million, two hundred twenty-four thousand, five hundred twenty".