106065101 has 2 divisors, whose sum is σ = 106065102. Its totient is φ = 106065100.

The previous prime is 106065083. The next prime is 106065103. The reversal of 106065101 is 101560601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60435076 + 45630025 = 7774^2 + 6755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106065101 is a prime.

It is a super-2 number, since 2×106065101² = 22499611300280402, which contains 22 as substring.

Together with 106065103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106065103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53032550 + 53032551.

It is an arithmetic number, because the mean of its divisors is an integer number (53032551).

Almost surely, 2^106065101 is an apocalyptic number.

It is an amenable number.

106065101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106065101 is an equidigital number, since it uses as much as digits as its factorization.

106065101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 106065101 is about 10298.7912397524. The cubic root of 106065101 is about 473.3592156162.

The spelling of 106065101 in words is "one hundred six million, sixty-five thousand, one hundred one".