105732606 has 64 divisors (see below), whose sum is σ = 261342720. Its totient is φ = 27838080.

The previous prime is 105732593. The next prime is 105732607. The reversal of 105732606 is 606237501.

It is a super-2 number, since 2×105732606² = 22358767943102472, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105732607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27736 + ... + 31316.

It is an arithmetic number, because the mean of its divisors is an integer number (4083480).

Almost surely, 2^105732606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105732606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130671360).

105732606 is an abundant number, since it is smaller than the sum of its proper divisors (155610114).

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

105732606 is a wasteful number, since it uses less digits than its factorization.

105732606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 105732606 is about 10282.6361406013. The cubic root of 105732606 is about 472.8640658745.

The spelling of 105732606 in words is "one hundred five million, seven hundred thirty-two thousand, six hundred six".