103873224 has 128 divisors (see below), whose sum is σ = 322560000. Its totient is φ = 27143424.

The previous prime is 103873223. The next prime is 103873261. The reversal of 103873224 is 422378301.

It is a junction number, because it is equal to n+sod(n) for n = 103873191 and 103873200.

It is not an unprimeable number, because it can be changed into a prime (103873223) 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 31 ways as a sum of consecutive naturals, for example, 434497 + ... + 434735.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2^103873224 is an apocalyptic number.

103873224 is a gapful number since it is divisible by the number (14) 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 103873224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280000).

103873224 is an abundant number, since it is smaller than the sum of its proper divisors (218686776).

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

103873224 is a wasteful number, since it uses less digits than its factorization.

103873224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 103873224 is about 10191.8214270070. The cubic root of 103873224 is about 470.0757747150.

The spelling of 103873224 in words is "one hundred three million, eight hundred seventy-three thousand, two hundred twenty-four".