105031305 has 24 divisors (see below), whose sum is σ = 184553928. Its totient is φ = 55247616.

The previous prime is 105031279. The next prime is 105031331. The reversal of 105031305 is 503130501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105031279) and next prime (105031331).

It can be written as a sum of positive squares in 4 ways, for example, as 38787984 + 66243321 = 6228^2 + 8139^2 .

It is not a de Polignac number, because 105031305 - 2⁷ = 105031177 is a prime.

It is a super-2 number, since 2×105031305² = 22063150060006050, 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 23 ways as a sum of consecutive naturals, for example, 12702 + ... + 19271.

It is an arithmetic number, because the mean of its divisors is an integer number (7689747).

Almost surely, 2^105031305 is an apocalyptic number.

105031305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105031305 is a deficient number, since it is larger than the sum of its proper divisors (79522623).

105031305 is a wasteful number, since it uses less digits than its factorization.

105031305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32057 (or 32054 counting only the distinct ones).

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

The square root of 105031305 is about 10248.4781797104. The cubic root of 105031305 is about 471.8162782650.

Adding to 105031305 its reverse (503130501), we get a palindrome (608161806).

The spelling of 105031305 in words is "one hundred five million, thirty-one thousand, three hundred five".