105632 has 12 divisors (see below), whose sum is σ = 208026. Its totient is φ = 52800.

The previous prime is 105619. The next prime is 105649. The reversal of 105632 is 236501.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 5776 = 316^2 + 76^2 .

It is a super-2 number, since 2×105632² = 22316238848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1619 + ... + 1682.

2¹⁰⁵⁶³² is an apocalyptic number.

It is an amenable number.

105632 is a deficient number, since it is larger than the sum of its proper divisors (102394).

105632 is an equidigital number, since it uses as much as digits as its factorization.

105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105632 is about 325.0107690524. The cubic root of 105632 is about 47.2714039436.

It can be divided in two parts, 105 and 632, that added together give a palindrome (737).

The spelling of 105632 in words is "one hundred five thousand, six hundred thirty-two".