106561565 has 16 divisors (see below), whose sum is σ = 140887296. Its totient is φ = 76728000.

The previous prime is 106561523. The next prime is 106561577. The reversal of 106561565 is 565165601.

It is not a de Polignac number, because 106561565 - 2¹⁴ = 106545181 is a prime.

It is a super-2 number, since 2×106561565² = 22710734270498450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4037 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (8805456).

Almost surely, 2^106561565 is an apocalyptic number.

It is an amenable number.

106561565 is a deficient number, since it is larger than the sum of its proper divisors (34325731).

106561565 is a wasteful number, since it uses less digits than its factorization.

106561565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19300.

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 106561565 is about 10322.8661233206. The cubic root of 106561565 is about 474.0966246548.

It can be divided in two parts, 10656 and 1565, that added together give a palindrome (12221).

The spelling of 106561565 in words is "one hundred six million, five hundred sixty-one thousand, five hundred sixty-five".