105288 has 32 divisors (see below), whose sum is σ = 272160. Its totient is φ = 33920.
The previous prime is 105277. The next prime is 105319. The reversal of 105288 is 882501.
It is a super-2 number, since 2×1052882 = 22171125888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
105288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931 + ... + 1037.
It is an arithmetic number, because the mean of its divisors is an integer number (8505).
2105288 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 105288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).
105288 is an abundant number, since it is smaller than the sum of its proper divisors (166872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105288 is a wasteful number, since it uses less digits than its factorization.
105288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 157 (or 153 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 24.
The square root of 105288 is about 324.4811242584. The cubic root of 105288 is about 47.2200336292.
Adding to 105288 its reverse (882501), we get a palindrome (987789).
It can be divided in two parts, 105 and 288, that added together give a palindrome (393).
The spelling of 105288 in words is "one hundred five thousand, two hundred eighty-eight".
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