106005110077 has 2 divisors, whose sum is σ = 106005110078. Its totient is φ = 106005110076.

The previous prime is 106005110069. The next prime is 106005110161. The reversal of 106005110077 is 770011500601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80326329561 + 25678780516 = 283419^2 + 160246^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005110077 - 2³ = 106005110069 is a prime.

It is a super-2 number, since 2×106005110077² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106005110017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002555038 + 53002555039.

It is an arithmetic number, because the mean of its divisors is an integer number (53002555039).

Almost surely, 2^106005110077 is an apocalyptic number.

It is an amenable number.

106005110077 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005110077 is an equidigital number, since it uses as much as digits as its factorization.

106005110077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 28.

Adding to 106005110077 its reverse (770011500601), we get a palindrome (876016610678).

The spelling of 106005110077 in words is "one hundred six billion, five million, one hundred ten thousand, seventy-seven".