105332 has 12 divisors (see below), whose sum is σ = 195300. Its totient is φ = 49536.

The previous prime is 105331. The next prime is 105337. The reversal of 105332 is 233501.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 45796 = 244^2 + 214^2 .

It is a super-2 number, since 2×105332² = 22189660448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 707 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2¹⁰⁵³³² is an apocalyptic number.

It is an amenable number.

105332 is a deficient number, since it is larger than the sum of its proper divisors (89968).

105332 is a wasteful number, since it uses less digits than its factorization.

105332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 105332 is about 324.5489177304. The cubic root of 105332 is about 47.2266104854.

Adding to 105332 its reverse (233501), we get a palindrome (338833).

The spelling of 105332 in words is "one hundred five thousand, three hundred thirty-two".