105131071 has 2 divisors, whose sum is σ = 105131072. Its totient is φ = 105131070.

The previous prime is 105131063. The next prime is 105131129. The reversal of 105131071 is 170131501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105131071 - 2³ = 105131063 is a prime.

It is a super-2 number, since 2×105131071² = 22105084179214082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105131021) 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, 52565535 + 52565536.

It is an arithmetic number, because the mean of its divisors is an integer number (52565536).

Almost surely, 2^105131071 is an apocalyptic number.

105131071 is a deficient number, since it is larger than the sum of its proper divisors (1).

105131071 is an equidigital number, since it uses as much as digits as its factorization.

105131071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 105131071 is about 10253.3443812251. The cubic root of 105131071 is about 471.9656189048.

Adding to 105131071 its reverse (170131501), we get a palindrome (275262572).

The spelling of 105131071 in words is "one hundred five million, one hundred thirty-one thousand, seventy-one".