10224240100 has 72 divisors (see below), whose sum is σ = 23585990400. Its totient is φ = 3836016000.

The previous prime is 10224240097. The next prime is 10224240121. The reversal of 10224240100 is 104242201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165261 + ... + 218539.

It is an arithmetic number, because the mean of its divisors is an integer number (327583200).

Almost surely, 2^10224240100 is an apocalyptic number.

10224240100 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 10224240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792995200).

10224240100 is an abundant number, since it is smaller than the sum of its proper divisors (13361750300).

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

10224240100 is a wasteful number, since it uses less digits than its factorization.

10224240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53413 (or 53406 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10224240100 its reverse (104242201), we get a palindrome (10328482301).

The spelling of 10224240100 in words is "ten billion, two hundred twenty-four million, two hundred forty thousand, one hundred".