105303105 has 32 divisors (see below), whose sum is σ = 189083520. Its totient is φ = 55598400.

The previous prime is 105303097. The next prime is 105303113. The reversal of 105303105 is 501303501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105303097) and next prime (105303113).

It is not a de Polignac number, because 105303105 - 2³ = 105303097 is a prime.

It is a super-2 number, since 2×105303105² = 22177487845282050, which contains 22 as substring.

It is an unprimeable number.

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, 9774 + ... + 17496.

It is an arithmetic number, because the mean of its divisors is an integer number (5908860).

Almost surely, 2^105303105 is an apocalyptic number.

105303105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105303105 is a deficient number, since it is larger than the sum of its proper divisors (83780415).

105303105 is a wasteful number, since it uses less digits than its factorization.

105303105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 105303105 is about 10261.7301172853. The cubic root of 105303105 is about 472.2229164055. Note that the first 3 decimals are identical.

Adding to 105303105 its reverse (501303501), we get a palindrome (606606606).

The spelling of 105303105 in words is "one hundred five million, three hundred three thousand, one hundred five".