106105661 has 2 divisors, whose sum is σ = 106105662. Its totient is φ = 106105660.

The previous prime is 106105627. The next prime is 106105673. The reversal of 106105661 is 166501601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84529636 + 21576025 = 9194^2 + 4645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106105661 is a prime.

It is a super-2 number, since 2×106105661² = 22516822592493842, 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 106105661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106105061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052830 + 53052831.

It is an arithmetic number, because the mean of its divisors is an integer number (53052831).

Almost surely, 2^106105661 is an apocalyptic number.

It is an amenable number.

106105661 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105661 is an equidigital number, since it uses as much as digits as its factorization.

106105661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106105661 is about 10300.7602146638. The cubic root of 106105661 is about 473.4195464972.

The spelling of 106105661 in words is "one hundred six million, one hundred five thousand, six hundred sixty-one".