105267315 has 32 divisors (see below), whose sum is σ = 187729920. Its totient is φ = 50056704.

The previous prime is 105267313. The next prime is 105267319. The reversal of 105267315 is 513762501.

It is not a de Polignac number, because 105267315 - 2¹ = 105267313 is a prime.

It is a super-2 number, since 2×105267315² = 22162415214618450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105267313) 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 31 ways as a sum of consecutive naturals, for example, 6019 + ... + 15708.

It is an arithmetic number, because the mean of its divisors is an integer number (5866560).

Almost surely, 2^105267315 is an apocalyptic number.

105267315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105267315 is a deficient number, since it is larger than the sum of its proper divisors (82462605).

105267315 is a wasteful number, since it uses less digits than its factorization.

105267315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21771.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 105267315 is about 10259.9861111017. The cubic root of 105267315 is about 472.1694112619.

The spelling of 105267315 in words is "one hundred five million, two hundred sixty-seven thousand, three hundred fifteen".