105305107 has 2 divisors, whose sum is σ = 105305108. Its totient is φ = 105305106.

The previous prime is 105305099. The next prime is 105305143. The reversal of 105305107 is 701503501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105305107 - 2³ = 105305099 is a prime.

It is a super-2 number, since 2×105305107² = 22178331120562898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105305197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52652553 + 52652554.

It is an arithmetic number, because the mean of its divisors is an integer number (52652554).

Almost surely, 2^105305107 is an apocalyptic number.

105305107 is a deficient number, since it is larger than the sum of its proper divisors (1).

105305107 is an equidigital number, since it uses as much as digits as its factorization.

105305107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 105305107 is about 10261.8276637254. The cubic root of 105305107 is about 472.2259089867.

Adding to 105305107 its reverse (701503501), we get a palindrome (806808608).

The spelling of 105305107 in words is "one hundred five million, three hundred five thousand, one hundred seven".