106686761 has 2 divisors, whose sum is σ = 106686762. Its totient is φ = 106686760.

The previous prime is 106686707. The next prime is 106686763. The reversal of 106686761 is 167686601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59969536 + 46717225 = 7744^2 + 6835^2 .

It is an emirp because it is prime and its reverse (167686601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106686761 - 2²⁶ = 39577897 is a prime.

It is a super-2 number, since 2×106686761² = 22764129945342242, which contains 22 as substring.

Together with 106686763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106686763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53343380 + 53343381.

It is an arithmetic number, because the mean of its divisors is an integer number (53343381).

Almost surely, 2^106686761 is an apocalyptic number.

It is an amenable number.

106686761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106686761 is an equidigital number, since it uses as much as digits as its factorization.

106686761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 106686761 is about 10328.9283568045. The cubic root of 106686761 is about 474.2822193120.

The spelling of 106686761 in words is "one hundred six million, six hundred eighty-six thousand, seven hundred sixty-one".