105505323 has 32 divisors (see below), whose sum is σ = 175951872. Its totient is φ = 54631200.

The previous prime is 105505321. The next prime is 105505327. The reversal of 105505323 is 323505501.

It is not a de Polignac number, because 105505323 - 2¹ = 105505321 is a prime.

It is a super-2 number, since 2×105505323² = 22262746362668658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505293 and 105505302.

It is not an unprimeable number, because it can be changed into a prime (105505321) 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, 101818 + ... + 102848.

It is an arithmetic number, because the mean of its divisors is an integer number (5498496).

Almost surely, 2^105505323 is an apocalyptic number.

105505323 is a deficient number, since it is larger than the sum of its proper divisors (70446549).

105505323 is a wasteful number, since it uses less digits than its factorization.

105505323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 105505323 is about 10271.5784084044. The cubic root of 105505323 is about 472.5249996571.

The spelling of 105505323 in words is "one hundred five million, five hundred five thousand, three hundred twenty-three".