105165201 has 8 divisors (see below), whose sum is σ = 140296320. Its totient is φ = 70072112.

The previous prime is 105165191. The next prime is 105165227. The reversal of 105165201 is 102561501.

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 105165201 - 2¹⁷ = 105034129 is a prime.

It is a super-2 number, since 2×105165201² = 22119439002740802, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105165251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265 + ... + 14678.

It is an arithmetic number, because the mean of its divisors is an integer number (17537040).

Almost surely, 2^105165201 is an apocalyptic number.

It is an amenable number.

105165201 is a deficient number, since it is larger than the sum of its proper divisors (35131119).

105165201 is a wasteful number, since it uses less digits than its factorization.

105165201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105165201 is about 10255.0085811763. The cubic root of 105165201 is about 472.0166867245.

The spelling of 105165201 in words is "one hundred five million, one hundred sixty-five thousand, two hundred one".