105103315 has 16 divisors (see below), whose sum is σ = 128153088. Its totient is φ = 82738656.

The previous prime is 105103301. The next prime is 105103319. The reversal of 105103315 is 513301501.

It is a cyclic number.

It is not a de Polignac number, because 105103315 - 2¹⁵ = 105070547 is a prime.

It is a super-2 number, since 2×105103315² = 22093413647978450, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105103292 and 105103301.

It is not an unprimeable number, because it can be changed into a prime (105103319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191872 + ... + 192418.

It is an arithmetic number, because the mean of its divisors is an integer number (8009568).

Almost surely, 2^105103315 is an apocalyptic number.

105103315 is a deficient number, since it is larger than the sum of its proper divisors (23049773).

105103315 is an equidigital number, since it uses as much as digits as its factorization.

105103315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 105103315 is about 10251.9907822822. The cubic root of 105103315 is about 471.9240801836.

Adding to 105103315 its reverse (513301501), we get a palindrome (618404816).

The spelling of 105103315 in words is "one hundred five million, one hundred three thousand, three hundred fifteen".