109632 has 28 divisors (see below), whose sum is σ = 290576. Its totient is φ = 36480.

The previous prime is 109621. The next prime is 109639. The reversal of 109632 is 236901.

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

It is a junction number, because it is equal to n+sod(n) for n = 109599 and 109608.

It is not an unprimeable number, because it can be changed into a prime (109639) by changing a digit.

109632 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, 94 + ... + 477.

2¹⁰⁹⁶³² is an apocalyptic number.

109632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109632 is an abundant number, since it is smaller than the sum of its proper divisors (180944).

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

109632 is an equidigital number, since it uses as much as digits as its factorization.

109632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 109632 is about 331.1072333852. The cubic root of 109632 is about 47.8607072842.

It can be divided in two parts, 1096 and 32, that added together give a triangular number (1128 = T₄₇).

The spelling of 109632 in words is "one hundred nine thousand, six hundred thirty-two".