101224440 has 96 divisors (see below), whose sum is σ = 330389280. Its totient is φ = 26877696.

The previous prime is 101224439. The next prime is 101224463. The reversal of 101224440 is 44422101.

101224440 is a `hidden beast` number, since 1 + 0 + 1 + 224 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 113677 + ... + 114563.

It is an arithmetic number, because the mean of its divisors is an integer number (3441555).

Almost surely, 2^101224440 is an apocalyptic number.

101224440 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 101224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165194640).

101224440 is an abundant number, since it is smaller than the sum of its proper divisors (229164840).

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

101224440 is a wasteful number, since it uses less digits than its factorization.

101224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 101224440 is about 10061.0357319711. The cubic root of 101224440 is about 466.0456524131.

Adding to 101224440 its reverse (44422101), we get a palindrome (145646541).

It can be divided in two parts, 1012 and 24440, that added together give a palindrome (25452).

The spelling of 101224440 in words is "one hundred one million, two hundred twenty-four thousand, four hundred forty".