105304215 has 16 divisors (see below), whose sum is σ = 168781536. Its totient is φ = 56064000.

The previous prime is 105304211. The next prime is 105304237. The reversal of 105304215 is 512403501.

It is not a de Polignac number, because 105304215 - 2² = 105304211 is a prime.

It is a super-2 number, since 2×105304215² = 22177955393532450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105304191 and 105304200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105304211) 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 15 ways as a sum of consecutive naturals, for example, 3175 + ... + 14855.

It is an arithmetic number, because the mean of its divisors is an integer number (10548846).

Almost surely, 2^105304215 is an apocalyptic number.

105304215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105304215 is a deficient number, since it is larger than the sum of its proper divisors (63477321).

105304215 is a wasteful number, since it uses less digits than its factorization.

105304215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105304215 is about 10261.7842015899. The cubic root of 105304215 is about 472.2245756335.

Adding to 105304215 its reverse (512403501), we get a palindrome (617707716).

The spelling of 105304215 in words is "one hundred five million, three hundred four thousand, two hundred fifteen".