105228 has 36 divisors (see below), whose sum is σ = 276640. Its totient is φ = 33696.

The previous prime is 105227. The next prime is 105229. The reversal of 105228 is 822501.

It is an interprime number because it is at equal distance from previous prime (105227) and next prime (105229).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105228² = 22145863968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 105228.

It is not an unprimeable number, because it can be changed into a prime (105227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293 + ... + 1371.

2¹⁰⁵²²⁸ is an apocalyptic number.

105228 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 105228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138320).

105228 is an abundant number, since it is smaller than the sum of its proper divisors (171412).

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

105228 is a wasteful number, since it uses less digits than its factorization.

105228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105228 is about 324.3886557819. The cubic root of 105228 is about 47.2110622353.

Adding to 105228 its reverse (822501), we get a palindrome (927729).

It can be divided in two parts, 105 and 228, that added together give a palindrome (333).

The spelling of 105228 in words is "one hundred five thousand, two hundred twenty-eight".