106186681 has 2 divisors, whose sum is σ = 106186682. Its totient is φ = 106186680.

The previous prime is 106186669. The next prime is 106186697. The reversal of 106186681 is 186681601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102515625 + 3671056 = 10125^2 + 1916^2 .

It is an emirp because it is prime and its reverse (186681601) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 189981901 and 109189981.

It is a cyclic number.

It is not a de Polignac number, because 106186681 - 2⁹ = 106186169 is a prime.

It is a super-2 number, since 2×106186681² = 22551222443591522, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106186681.

It is not a weakly prime, because it can be changed into another prime (106186621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53093340 + 53093341.

It is an arithmetic number, because the mean of its divisors is an integer number (53093341).

Almost surely, 2^106186681 is an apocalyptic number.

It is an amenable number.

106186681 is a deficient number, since it is larger than the sum of its proper divisors (1).

106186681 is an equidigital number, since it uses as much as digits as its factorization.

106186681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 106186681 is about 10304.6921836608. The cubic root of 106186681 is about 473.5400135006.

The spelling of 106186681 in words is "one hundred six million, one hundred eighty-six thousand, six hundred eighty-one".