106053565 has 12 divisors (see below), whose sum is σ = 134871156. Its totient is φ = 79780608.

The previous prime is 106053553. The next prime is 106053569. The reversal of 106053565 is 565350601.

It can be written as a sum of positive squares in 6 ways, for example, as 24078649 + 81974916 = 4907^2 + 9054^2 .

It is not a de Polignac number, because 106053565 - 2⁵ = 106053533 is a prime.

It is a super-2 number, since 2×106053565² = 22494717298418450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106053569) 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 11 ways as a sum of consecutive naturals, for example, 94387 + ... + 95503.

It is an arithmetic number, because the mean of its divisors is an integer number (11239263).

Almost surely, 2^106053565 is an apocalyptic number.

It is an amenable number.

106053565 is a deficient number, since it is larger than the sum of its proper divisors (28817591).

106053565 is an frugal number, since it uses more digits than its factorization.

106053565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 106053565 is about 10298.2311587962. The cubic root of 106053565 is about 473.3420536095.

The spelling of 106053565 in words is "one hundred six million, fifty-three thousand, five hundred sixty-five".