105000107 has 2 divisors, whose sum is σ = 105000108. Its totient is φ = 105000106.

The previous prime is 105000073. The next prime is 105000121. The reversal of 105000107 is 701000501.

It is an a-pointer prime, because the next prime (105000121) can be obtained adding 105000107 to its sum of digits (14).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105000107 is a prime.

It is a super-2 number, since 2×105000107² = 22050044940022898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105000091 and 105000100.

It is not a weakly prime, because it can be changed into another prime (105000127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500053 + 52500054.

It is an arithmetic number, because the mean of its divisors is an integer number (52500054).

Almost surely, 2^105000107 is an apocalyptic number.

105000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000107 is an equidigital number, since it uses as much as digits as its factorization.

105000107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 105000107 is about 10246.9559870237. The cubic root of 105000107 is about 471.7695582834.

Adding to 105000107 its reverse (701000501), we get a palindrome (806000608).

The spelling of 105000107 in words is "one hundred five million, one hundred seven", and thus it is an aban number.