103056 has 40 divisors (see below), whose sum is σ = 282720. Its totient is φ = 32256.

The previous prime is 103049. The next prime is 103067. The reversal of 103056 is 650301.

103056 is nontrivially palindromic in base 5.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2¹⁰³⁰⁵⁶ is an apocalyptic number.

103056 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 103056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360).

103056 is an abundant number, since it is smaller than the sum of its proper divisors (179664).

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

103056 is a wasteful number, since it uses less digits than its factorization.

103056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 103056 is about 321.0233636357. The cubic root of 103056 is about 46.8839751703.

Subtracting from 103056 its sum of digits (15), we obtain a square (103041 = 321²).

Adding to 103056 its reverse (650301), we get a palindrome (753357).

The spelling of 103056 in words is "one hundred three thousand, fifty-six".