105322031 has 2 divisors, whose sum is σ = 105322032. Its totient is φ = 105322030.

The previous prime is 105322003. The next prime is 105322033. The reversal of 105322031 is 130223501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105322031 - 2⁶ = 105321967 is a prime.

It is a super-2 number, since 2×105322031² = 22185460427929922, which contains 22 as substring.

Together with 105322033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105322033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52661015 + 52661016.

It is an arithmetic number, because the mean of its divisors is an integer number (52661016).

Almost surely, 2^105322031 is an apocalyptic number.

105322031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105322031 is an equidigital number, since it uses as much as digits as its factorization.

105322031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105322031 is about 10262.6522400401. The cubic root of 105322031 is about 472.2512053958.

Adding to 105322031 its reverse (130223501), we get a palindrome (235545532).

The spelling of 105322031 in words is "one hundred five million, three hundred twenty-two thousand, thirty-one".