105215301 has 32 divisors (see below), whose sum is σ = 159731840. Its totient is φ = 68428800.

The previous prime is 105215291. The next prime is 105215321. The reversal of 105215301 is 103512501.

It is not a de Polignac number, because 105215301 - 2⁵ = 105215269 is a prime.

It is a super-2 number, since 2×105215301² = 22140519129041202, 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 (105215321) 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 31 ways as a sum of consecutive naturals, for example, 317706 + ... + 318036.

It is an arithmetic number, because the mean of its divisors is an integer number (4991620).

Almost surely, 2^105215301 is an apocalyptic number.

It is an amenable number.

105215301 is a deficient number, since it is larger than the sum of its proper divisors (54516539).

105215301 is a wasteful number, since it uses less digits than its factorization.

105215301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105215301 is about 10257.4509991518. The cubic root of 105215301 is about 472.0916300249.

Adding to 105215301 its reverse (103512501), we get a palindrome (208727802).

The spelling of 105215301 in words is "one hundred five million, two hundred fifteen thousand, three hundred one".