103264 has 24 divisors (see below), whose sum is σ = 232848. Its totient is φ = 44160.

The previous prime is 103237. The next prime is 103289. The reversal of 103264 is 462301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2¹⁰³²⁶⁴ is an apocalyptic number.

103264 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 103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424).

103264 is an abundant number, since it is smaller than the sum of its proper divisors (129584).

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

103264 is an equidigital number, since it uses as much as digits as its factorization.

103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103264 is about 321.3471642943. The cubic root of 103264 is about 46.9154962636.

Adding to 103264 its reverse (462301), we get a palindrome (565565).

It can be divided in two parts, 10 and 3264, that multiplied together give a triangular number (32640 = T₂₅₅).

The spelling of 103264 in words is "one hundred three thousand, two hundred sixty-four".