106005506261 has 2 divisors, whose sum is σ = 106005506262. Its totient is φ = 106005506260.

The previous prime is 106005506213. The next prime is 106005506263. The reversal of 106005506261 is 162605500601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90296644036 + 15708862225 = 300494^2 + 125335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106005506261 is a prime.

It is a super-2 number, since 2×106005506261² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 106005506263, it forms a pair of twin primes.

It is a Chen 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 (106005506263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002753130 + 53002753131.

It is an arithmetic number, because the mean of its divisors is an integer number (53002753131).

Almost surely, 2^106005506261 is an apocalyptic number.

It is an amenable number.

106005506261 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005506261 is an equidigital number, since it uses as much as digits as its factorization.

106005506261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 106005506261 in words is "one hundred six billion, five million, five hundred six thousand, two hundred sixty-one".