105000031 has 2 divisors, whose sum is σ = 105000032. Its totient is φ = 105000030.

The previous prime is 105000019. The next prime is 105000059. The reversal of 105000031 is 130000501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105000031 is a prime.

It is a super-2 number, since 2×105000031² = 22050013020001922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 104999981 and 105000017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000001) 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 as a sum of consecutive naturals, namely, 52500015 + 52500016.

It is an arithmetic number, because the mean of its divisors is an integer number (52500016).

Almost surely, 2^105000031 is an apocalyptic number.

105000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000031 is an equidigital number, since it uses as much as digits as its factorization.

105000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 105000031 is about 10246.9522786046. The cubic root of 105000031 is about 471.7694444597.

Adding to 105000031 its reverse (130000501), we get a palindrome (235000532).

The spelling of 105000031 in words is "one hundred five million, thirty-one", and thus it is an aban number.