105492781 has 2 divisors, whose sum is σ = 105492782. Its totient is φ = 105492780.

The previous prime is 105492727. The next prime is 105492817. The reversal of 105492781 is 187294501.

Together with next prime (105492817) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105472900 + 19881 = 10270^2 + 141^2 .

It is a cyclic number.

It is not a de Polignac number, because 105492781 - 2¹¹ = 105490733 is a prime.

It is a super-2 number, since 2×105492781² = 22257453686227922, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105492781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105492281) 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, 52746390 + 52746391.

It is an arithmetic number, because the mean of its divisors is an integer number (52746391).

Almost surely, 2^105492781 is an apocalyptic number.

It is an amenable number.

105492781 is a deficient number, since it is larger than the sum of its proper divisors (1).

105492781 is an equidigital number, since it uses as much as digits as its factorization.

105492781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 105492781 is about 10270.9678706537. The cubic root of 105492781 is about 472.5062750303.

The spelling of 105492781 in words is "one hundred five million, four hundred ninety-two thousand, seven hundred eighty-one".