106005114101 has 2 divisors, whose sum is σ = 106005114102. Its totient is φ = 106005114100.

The previous prime is 106005114097. The next prime is 106005114121. The reversal of 106005114101 is 101411500601.

It is a happy number.

It is an a-pointer prime, because the next prime (106005114121) can be obtained adding 106005114101 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86468343025 + 19536771076 = 294055^2 + 139774^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005114101 - 2² = 106005114097 is a prime.

It is a super-2 number, since 2×106005114101² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106005114121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002557050 + 53002557051.

It is an arithmetic number, because the mean of its divisors is an integer number (53002557051).

Almost surely, 2^106005114101 is an apocalyptic number.

It is an amenable number.

106005114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005114101 is an equidigital number, since it uses as much as digits as its factorization.

106005114101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 106005114101 its reverse (101411500601), we get a palindrome (207416614702).

The spelling of 106005114101 in words is "one hundred six billion, five million, one hundred fourteen thousand, one hundred one".