105209831 has 2 divisors, whose sum is σ = 105209832. Its totient is φ = 105209830.

The previous prime is 105209809. The next prime is 105209861. The reversal of 105209831 is 138902501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105209831 is a prime.

It is a super-2 number, since 2×105209831² = 22138217078097122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105209794 and 105209803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105209861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52604915 + 52604916.

It is an arithmetic number, because the mean of its divisors is an integer number (52604916).

Almost surely, 2^105209831 is an apocalyptic number.

105209831 is a deficient number, since it is larger than the sum of its proper divisors (1).

105209831 is an equidigital number, since it uses as much as digits as its factorization.

105209831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 105209831 is about 10257.1843602423. The cubic root of 105209831 is about 472.0834487498.

The spelling of 105209831 in words is "one hundred five million, two hundred nine thousand, eight hundred thirty-one".