106513565 has 16 divisors (see below), whose sum is σ = 131870640. Its totient is φ = 82529280.

The previous prime is 106513553. The next prime is 106513577. The reversal of 106513565 is 565315601.

It is an interprime number because it is at equal distance from previous prime (106513553) and next prime (106513577).

It can be written as a sum of positive squares in 8 ways, for example, as 2208196 + 104305369 = 1486^2 + 10213^2 .

It is not a de Polignac number, because 106513565 - 2⁶ = 106513501 is a prime.

It is a super-2 number, since 2×106513565² = 22690279058018450, 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 15 ways as a sum of consecutive naturals, for example, 43391 + ... + 45779.

It is an arithmetic number, because the mean of its divisors is an integer number (8241915).

Almost surely, 2^106513565 is an apocalyptic number.

It is an amenable number.

106513565 is a deficient number, since it is larger than the sum of its proper divisors (25357075).

106513565 is a wasteful number, since it uses less digits than its factorization.

106513565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672.

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 106513565 is about 10320.5409257461. The cubic root of 106513565 is about 474.0254293300.

The spelling of 106513565 in words is "one hundred six million, five hundred thirteen thousand, five hundred sixty-five".