105685132 has 12 divisors (see below), whose sum is σ = 211370320. Its totient is φ = 45293616.

The previous prime is 105685121. The next prime is 105685159. The reversal of 105685132 is 231586501.

105685132 is an admirable number.

It is a super-2 number, since 2×105685132² = 22338694251714848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105685094 and 105685103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1887207 + ... + 1887262.

Almost surely, 2^105685132 is an apocalyptic number.

It is an amenable number.

105685132 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105685132 is a wasteful number, since it uses less digits than its factorization.

105685132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774480 (or 3774478 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 105685132 is about 10280.3274266922. The cubic root of 105685132 is about 472.7932832018.

The spelling of 105685132 in words is "one hundred five million, six hundred eighty-five thousand, one hundred thirty-two".