106000165 has 8 divisors (see below), whose sum is σ = 127265400. Its totient is φ = 84756672.

The previous prime is 106000073. The next prime is 106000187. The reversal of 106000165 is 561000601.

It can be written as a sum of positive squares in 4 ways, for example, as 65270241 + 40729924 = 8079^2 + 6382^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 106000165 - 2¹⁵ = 105967397 is a prime.

It is a super-2 number, since 2×106000165² = 22472069960054450, 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 7 ways as a sum of consecutive naturals, for example, 8587 + ... + 16903.

It is an arithmetic number, because the mean of its divisors is an integer number (15908175).

Almost surely, 2^106000165 is an apocalyptic number.

It is an amenable number.

106000165 is a deficient number, since it is larger than the sum of its proper divisors (21265235).

106000165 is an equidigital number, since it uses as much as digits as its factorization.

106000165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 106000165 is about 10295.6381540922. The cubic root of 106000165 is about 473.2625946769.

Adding to 106000165 its reverse (561000601), we get a palindrome (667000766).

The spelling of 106000165 in words is "one hundred six million, one hundred sixty-five", and thus it is an aban number.