106781761 has 2 divisors, whose sum is σ = 106781762. Its totient is φ = 106781760.

The previous prime is 106781749. The next prime is 106781783. The reversal of 106781761 is 167187601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 9641025 = 9856^2 + 3105^2 .

It is a cyclic number.

It is not a de Polignac number, because 106781761 - 2¹⁷ = 106650689 is a prime.

It is a super-2 number, since 2×106781761² = 22804688964522242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106781761.

It is not a weakly prime, because it can be changed into another prime (106781711) 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, 53390880 + 53390881.

It is an arithmetic number, because the mean of its divisors is an integer number (53390881).

Almost surely, 2^106781761 is an apocalyptic number.

It is an amenable number.

106781761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106781761 is an equidigital number, since it uses as much as digits as its factorization.

106781761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 106781761 is about 10333.5260680951. The cubic root of 106781761 is about 474.4229535615.

It can be divided in two parts, 1067 and 81761, that added together give a palindrome (82828).

The spelling of 106781761 in words is "one hundred six million, seven hundred eighty-one thousand, seven hundred sixty-one".