105050600077 has 2 divisors, whose sum is σ = 105050600078. Its totient is φ = 105050600076.

The previous prime is 105050600047. The next prime is 105050600099. The reversal of 105050600077 is 770006050501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68573801956 + 36476798121 = 261866^2 + 190989^2 .

It is a cyclic number.

It is not a de Polignac number, because 105050600077 - 2¹⁵ = 105050567309 is a prime.

It is a super-2 number, since 2×105050600077² (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 (105050600027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525300038 + 52525300039.

It is an arithmetic number, because the mean of its divisors is an integer number (52525300039).

Almost surely, 2^105050600077 is an apocalyptic number.

It is an amenable number.

105050600077 is a deficient number, since it is larger than the sum of its proper divisors (1).

105050600077 is an equidigital number, since it uses as much as digits as its factorization.

105050600077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7350, while the sum is 31.

Adding to 105050600077 its reverse (770006050501), we get a palindrome (875056650578).

The spelling of 105050600077 in words is "one hundred five billion, fifty million, six hundred thousand, seventy-seven".