106932 has 48 divisors (see below), whose sum is σ = 304640. Its totient is φ = 28512.

The previous prime is 106921. The next prime is 106937. The reversal of 106932 is 239601.

It is a super-2 number, since 2×106932² = 22868905248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 106899 and 106908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106937) by changing a digit.

106932 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 15 ways as a sum of consecutive naturals, for example, 1563 + ... + 1629.

2¹⁰⁶⁹³² is an apocalyptic number.

106932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152320).

106932 is an abundant number, since it is smaller than the sum of its proper divisors (197708).

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

106932 is a wasteful number, since it uses less digits than its factorization.

106932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

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

The square root of 106932 is about 327.0045871238. The cubic root of 106932 is about 47.4645349307.

Adding to 106932 its sum of digits (21), we get a triangular number (106953 = T₄₆₂).

The spelling of 106932 in words is "one hundred six thousand, nine hundred thirty-two".