105006165 has 32 divisors (see below), whose sum is σ = 185127552. Its totient is φ = 50400000.

The previous prime is 105006163. The next prime is 105006199. The reversal of 105006165 is 561600501.

It is not a de Polignac number, because 105006165 - 2¹ = 105006163 is a prime.

It is a super-2 number, since 2×105006165² = 22052589376014450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13515 + ... + 19815.

It is an arithmetic number, because the mean of its divisors is an integer number (5785236).

Almost surely, 2^105006165 is an apocalyptic number.

105006165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105006165 is a deficient number, since it is larger than the sum of its proper divisors (80121387).

105006165 is a wasteful number, since it uses less digits than its factorization.

105006165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105006165 is about 10247.2515827416. The cubic root of 105006165 is about 471.7786310520.

Adding to 105006165 its reverse (561600501), we get a palindrome (666606666).

The spelling of 105006165 in words is "one hundred five million, six thousand, one hundred sixty-five".