105712381 has 2 divisors, whose sum is σ = 105712382. Its totient is φ = 105712380.

The previous prime is 105712363. The next prime is 105712403. The reversal of 105712381 is 183217501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80371225 + 25341156 = 8965^2 + 5034^2 .

It is an emirp because it is prime and its reverse (183217501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105712381 - 2⁷ = 105712253 is a prime.

It is a super-2 number, since 2×105712381² = 22350214993378322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105712081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52856190 + 52856191.

It is an arithmetic number, because the mean of its divisors is an integer number (52856191).

Almost surely, 2^105712381 is an apocalyptic number.

It is an amenable number.

105712381 is a deficient number, since it is larger than the sum of its proper divisors (1).

105712381 is an equidigital number, since it uses as much as digits as its factorization.

105712381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 105712381 is about 10281.6526395322. The cubic root of 105712381 is about 472.8339134426.

Adding to 105712381 its reverse (183217501), we get a palindrome (288929882).

The spelling of 105712381 in words is "one hundred five million, seven hundred twelve thousand, three hundred eighty-one".