105415323 has 16 divisors (see below), whose sum is σ = 151558176. Its totient is φ = 64788480.

The previous prime is 105415267. The next prime is 105415337. The reversal of 105415323 is 323514501.

It is not a de Polignac number, because 105415323 - 2¹⁷ = 105284251 is a prime.

It is a super-2 number, since 2×105415323² = 22224780646388658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105415293 and 105415302.

It is not an unprimeable number, because it can be changed into a prime (105415823) 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 15 ways as a sum of consecutive naturals, for example, 46353 + ... + 48573.

It is an arithmetic number, because the mean of its divisors is an integer number (9472386).

Almost surely, 2^105415323 is an apocalyptic number.

105415323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105415323 is a deficient number, since it is larger than the sum of its proper divisors (46142853).

105415323 is a wasteful number, since it uses less digits than its factorization.

105415323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105415323 is about 10267.1964527811. The cubic root of 105415323 is about 472.3906009148.

Adding to 105415323 its reverse (323514501), we get a palindrome (428929824).

The spelling of 105415323 in words is "one hundred five million, four hundred fifteen thousand, three hundred twenty-three".