105215201 has 12 divisors (see below), whose sum is σ = 131808852. Its totient is φ = 83246688.

The previous prime is 105215189. The next prime is 105215203. The reversal of 105215201 is 102512501.

It can be written as a sum of positive squares in 2 ways, for example, as 17230801 + 87984400 = 4151^2 + 9380^2 .

It is not a de Polignac number, because 105215201 - 2⁶ = 105215137 is a prime.

It is a super-2 number, since 2×105215201² = 22140477042940802, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105215201.

It is not an unprimeable number, because it can be changed into a prime (105215203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81950 + ... + 83223.

It is an arithmetic number, because the mean of its divisors is an integer number (10984071).

Almost surely, 2^105215201 is an apocalyptic number.

It is an amenable number.

105215201 is a deficient number, since it is larger than the sum of its proper divisors (26593651).

105215201 is a wasteful number, since it uses less digits than its factorization.

105215201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165200 (or 165193 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105215201 is about 10257.4461246453. The cubic root of 105215201 is about 472.0914804612.

Adding to 105215201 its reverse (102512501), we get a palindrome (207727702).

The spelling of 105215201 in words is "one hundred five million, two hundred fifteen thousand, two hundred one".