106932132 has 36 divisors (see below), whose sum is σ = 270810540. Its totient is φ = 35576832.

The previous prime is 106932103. The next prime is 106932157. The reversal of 106932132 is 231239601.

It can be written as a sum of positive squares in 2 ways, for example, as 58155876 + 48776256 = 7626^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106932132² = 22868961708130848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106932096 and 106932105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18844 + ... + 23852.

It is an arithmetic number, because the mean of its divisors is an integer number (7522515).

Almost surely, 2^106932132 is an apocalyptic number.

106932132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106932132 is an abundant number, since it is smaller than the sum of its proper divisors (163878408).

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

106932132 is a wasteful number, since it uses less digits than its factorization.

106932132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106932132 is about 10340.7993888287. The cubic root of 106932132 is about 474.6455446124.

The spelling of 106932132 in words is "one hundred six million, nine hundred thirty-two thousand, one hundred thirty-two".