106106565 has 32 divisors (see below), whose sum is σ = 178649856. Its totient is φ = 53706240.

The previous prime is 106106543. The next prime is 106106591. The reversal of 106106565 is 565601601.

It is not a de Polignac number, because 106106565 - 2⁶ = 106106501 is a prime.

It is a super-2 number, since 2×106106565² = 22517206272198450, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 20424 + ... + 25086.

It is an arithmetic number, because the mean of its divisors is an integer number (5582808).

Almost surely, 2^106106565 is an apocalyptic number.

106106565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106106565 is a deficient number, since it is larger than the sum of its proper divisors (72543291).

106106565 is a wasteful number, since it uses less digits than its factorization.

106106565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106106565 is about 10300.8040948268. The cubic root of 106106565 is about 473.4208909748.

The spelling of 106106565 in words is "one hundred six million, one hundred six thousand, five hundred sixty-five".