105256031 has 2 divisors, whose sum is σ = 105256032. Its totient is φ = 105256030.

The previous prime is 105256003. The next prime is 105256033. The reversal of 105256031 is 130652501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105256031 is a prime.

It is a super-3 number, since 3×105256031³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 105256033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105255988 and 105256006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105256033) 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, 52628015 + 52628016.

It is an arithmetic number, because the mean of its divisors is an integer number (52628016).

Almost surely, 2^105256031 is an apocalyptic number.

105256031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105256031 is an equidigital number, since it uses as much as digits as its factorization.

105256031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105256031 is about 10259.4361930859. The cubic root of 105256031 is about 472.1525394531.

The spelling of 105256031 in words is "one hundred five million, two hundred fifty-six thousand, thirty-one".