105055831 has 2 divisors, whose sum is σ = 105055832. Its totient is φ = 105055830.

The previous prime is 105055829. The next prime is 105055849. The reversal of 105055831 is 138550501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105055831 - 2¹ = 105055829 is a prime.

It is a super-2 number, since 2×105055831² = 22073455254201122, which contains 22 as substring.

Together with 105055829, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105055831.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105055871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527915 + 52527916.

It is an arithmetic number, because the mean of its divisors is an integer number (52527916).

Almost surely, 2^105055831 is an apocalyptic number.

105055831 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055831 is an equidigital number, since it uses as much as digits as its factorization.

105055831 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 105055831 is about 10249.6746777642. The cubic root of 105055831 is about 471.8530002228.

The spelling of 105055831 in words is "one hundred five million, fifty-five thousand, eight hundred thirty-one".