103729224 has 64 divisors (see below), whose sum is σ = 270397440. Its totient is φ = 33122880.

The previous prime is 103729187. The next prime is 103729237. The reversal of 103729224 is 422927301.

It is a junction number, because it is equal to n+sod(n) for n = 103729191 and 103729200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78957 + ... + 80259.

It is an arithmetic number, because the mean of its divisors is an integer number (4224960).

Almost surely, 2^103729224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103729224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135198720).

103729224 is an abundant number, since it is smaller than the sum of its proper divisors (166668216).

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

103729224 is a wasteful number, since it uses less digits than its factorization.

103729224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 103729224 is about 10184.7544889408. The cubic root of 103729224 is about 469.8584514140.

The spelling of 103729224 in words is "one hundred three million, seven hundred twenty-nine thousand, two hundred twenty-four".