105352 has 16 divisors (see below), whose sum is σ = 212940. Its totient is φ = 48576.

The previous prime is 105341. The next prime is 105359. The reversal of 105352 is 253501.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 30276 = 274^2 + 174^2 .

It is a super-2 number, since 2×105352² = 22198087808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105359) by changing a digit.

105352 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 3 ways as a sum of consecutive naturals, for example, 403 + ... + 610.

2¹⁰⁵³⁵² is an apocalyptic number.

It is an amenable number.

105352 is an abundant number, since it is smaller than the sum of its proper divisors (107588).

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

105352 is a wasteful number, since it uses less digits than its factorization.

105352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105352 is about 324.5797282641. The cubic root of 105352 is about 47.2295993601.

Adding to 105352 its reverse (253501), we get a palindrome (358853).

It can be divided in two parts, 1053 and 52, that multiplied together give a square (54756 = 234²).

The spelling of 105352 in words is "one hundred five thousand, three hundred fifty-two".