106132 has 18 divisors (see below), whose sum is σ = 202398. Its totient is φ = 48672.

The previous prime is 106129. The next prime is 106163. The reversal of 106132 is 231601.

It can be written as a sum of positive squares in 3 ways, for example, as 1156 + 104976 = 34^2 + 324^2 .

It is a super-2 number, since 2×106132² = 22528002848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 598 + ... + 754.

2¹⁰⁶¹³² is an apocalyptic number.

It is an amenable number.

106132 is a deficient number, since it is larger than the sum of its proper divisors (96266).

106132 is a wasteful number, since it uses less digits than its factorization.

106132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 106132 is about 325.7790662397. The cubic root of 106132 is about 47.3458716150.

Adding to 106132 its reverse (231601), we get a palindrome (337733).

The spelling of 106132 in words is "one hundred six thousand, one hundred thirty-two".