106133365 has 8 divisors (see below), whose sum is σ = 137157048. Its totient is φ = 78375360.

The previous prime is 106133341. The next prime is 106133369. The reversal of 106133365 is 563331601.

It can be written as a sum of positive squares in 4 ways, for example, as 3090564 + 103042801 = 1758^2 + 10151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106133365 - 2¹¹ = 106131317 is a prime.

It is a super-2 number, since 2×106133365² = 22528582332446450, 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 (106133369) 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 7 ways as a sum of consecutive naturals, for example, 816346 + ... + 816475.

It is an arithmetic number, because the mean of its divisors is an integer number (17144631).

Almost surely, 2^106133365 is an apocalyptic number.

It is an amenable number.

106133365 is a deficient number, since it is larger than the sum of its proper divisors (31023683).

106133365 is a wasteful number, since it uses less digits than its factorization.

106133365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632839.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 106133365 is about 10302.1048820132. The cubic root of 106133365 is about 473.4607459132.

Adding to 106133365 its reverse (563331601), we get a palindrome (669464966).

The spelling of 106133365 in words is "one hundred six million, one hundred thirty-three thousand, three hundred sixty-five".