103520256 has 192 divisors, whose sum is σ = 330220800. Its totient is φ = 28213248.

The previous prime is 103520239. The next prime is 103520267. The reversal of 103520256 is 652025301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247191 + ... + 1247273.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^103520256 is an apocalyptic number.

103520256 is a gapful number since it is divisible by the number (16) 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 103520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

103520256 is an abundant number, since it is smaller than the sum of its proper divisors (226700544).

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

103520256 is an equidigital number, since it uses as much as digits as its factorization.

103520256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 103520256 is about 10174.4904540719. The cubic root of 103520256 is about 469.5427210789.

Adding to 103520256 its reverse (652025301), we get a palindrome (755545557).

The spelling of 103520256 in words is "one hundred three million, five hundred twenty thousand, two hundred fifty-six".