105130031 has 2 divisors, whose sum is σ = 105130032. Its totient is φ = 105130030.

The previous prime is 105130019. The next prime is 105130037. The reversal of 105130031 is 130031501.

It is a strong prime.

It is an emirp because it is prime and its reverse (130031501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105130031 - 2¹⁰ = 105129007 is a prime.

It is a super-2 number, since 2×105130031² = 22104646836121922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105129988 and 105130015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105130037) by changing a digit.

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 as a sum of consecutive naturals, namely, 52565015 + 52565016.

It is an arithmetic number, because the mean of its divisors is an integer number (52565016).

Almost surely, 2^105130031 is an apocalyptic number.

105130031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105130031 is an equidigital number, since it uses as much as digits as its factorization.

105130031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 105130031 is about 10253.2936659397. The cubic root of 105130031 is about 471.9640626067.

Adding to 105130031 its reverse (130031501), we get a palindrome (235161532).

The spelling of 105130031 in words is "one hundred five million, one hundred thirty thousand, thirty-one".