106632 has 24 divisors (see below), whose sum is σ = 288990. Its totient is φ = 35520.

The previous prime is 106627. The next prime is 106637. The reversal of 106632 is 236601.

It is a happy number.

106632 is a `hidden beast` number, since 1 + 0 + 663 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106627) and next prime (106637).

It can be written as a sum of positive squares in only one way, i.e., 93636 + 12996 = 306^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106632² = 22740766848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106637) by changing a digit.

106632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 669 + ... + 812.

2¹⁰⁶⁶³² is an apocalyptic number.

106632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106632 is an abundant number, since it is smaller than the sum of its proper divisors (182358).

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

106632 is a wasteful number, since it uses less digits than its factorization.

106632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106632 is about 326.5455557805. The cubic root of 106632 is about 47.4201057684.

The spelling of 106632 in words is "one hundred six thousand, six hundred thirty-two".