107022784128077 has 2 divisors, whose sum is σ = 107022784128078. Its totient is φ = 107022784128076.

The previous prime is 107022784127993. The next prime is 107022784128101. The reversal of 107022784128077 is 770821487220701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63741924693316 + 43280859434761 = 7983854^2 + 6578819^2 .

It is a cyclic number.

It is not a de Polignac number, because 107022784128077 - 2⁴⁰ = 105923272500301 is a prime.

It is a super-2 number, since 2×107022784128077² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107022784128277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53511392064038 + 53511392064039.

It is an arithmetic number, because the mean of its divisors is an integer number (53511392064039).

Almost surely, 2^{107022784128077} is an apocalyptic number.

It is an amenable number.

107022784128077 is a deficient number, since it is larger than the sum of its proper divisors (1).

107022784128077 is an equidigital number, since it uses as much as digits as its factorization.

107022784128077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4917248, while the sum is 56.

The spelling of 107022784128077 in words is "one hundred seven trillion, twenty-two billion, seven hundred eighty-four million, one hundred twenty-eight thousand, seventy-seven".