105706132 has 36 divisors (see below), whose sum is σ = 215906880. Its totient is φ = 45151344.

The previous prime is 105706121. The next prime is 105706163. The reversal of 105706132 is 231607501.

It is a super-2 number, since 2×105706132² = 22347572684802848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105706097 and 105706106.

It is a congruent number.

It is an unprimeable number.

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, 73573 + ... + 74995.

Almost surely, 2^105706132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105706132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107953440).

105706132 is an abundant number, since it is smaller than the sum of its proper divisors (110200748).

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

105706132 is a wasteful number, since it uses less digits than its factorization.

105706132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105706132 is about 10281.3487442067. The cubic root of 105706132 is about 472.8245963462.

The spelling of 105706132 in words is "one hundred five million, seven hundred six thousand, one hundred thirty-two".