106536132 has 36 divisors (see below), whose sum is σ = 271277916. Its totient is φ = 35251200.

The previous prime is 106536121. The next prime is 106536137. The reversal of 106536132 is 231635601.

106536132 is a `hidden beast` number, since 1 + 0 + 653 + 6 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80892036 + 25644096 = 8994^2 + 5064^2 .

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

It is a super-2 number, since 2×106536132² = 22699894843042848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106536096 and 106536105.

It is not an unprimeable number, because it can be changed into a prime (106536137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5869 + ... + 15732.

Almost surely, 2^106536132 is an apocalyptic number.

106536132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106536132 is an abundant number, since it is smaller than the sum of its proper divisors (164741784).

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

106536132 is a wasteful number, since it uses less digits than its factorization.

106536132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21748 (or 21743 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106536132 is about 10321.6341729399. The cubic root of 106536132 is about 474.0589041789.

The spelling of 106536132 in words is "one hundred six million, five hundred thirty-six thousand, one hundred thirty-two".