103729248 has 120 divisors (see below), whose sum is σ = 348706512. Its totient is φ = 29631744.

The previous prime is 103729237. The next prime is 103729261. The reversal of 103729248 is 842927301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 15286 + ... + 21002.

Almost surely, 2^103729248 is an apocalyptic number.

103729248 is a gapful number since it is divisible by the number (18) 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 103729248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174353256).

103729248 is an abundant number, since it is smaller than the sum of its proper divisors (244977264).

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

103729248 is an equidigital number, since it uses as much as digits as its factorization.

103729248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 103729248 is about 10184.7556671724. The cubic root of 103729248 is about 469.8584876513.

The spelling of 103729248 in words is "one hundred three million, seven hundred twenty-nine thousand, two hundred forty-eight".