106577367524377 has 2 divisors, whose sum is σ = 106577367524378. Its totient is φ = 106577367524376.

The previous prime is 106577367524371. The next prime is 106577367524423. The reversal of 106577367524377 is 773425763775601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90881539978761 + 15695827545616 = 9533181^2 + 3961796^2 .

It is an emirp because it is prime and its reverse (773425763775601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106577367524377 - 2⁷ = 106577367524249 is a prime.

It is a super-2 number, since 2×106577367524377² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106577367524371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53288683762188 + 53288683762189.

It is an arithmetic number, because the mean of its divisors is an integer number (53288683762189).

Almost surely, 2^{106577367524377} is an apocalyptic number.

It is an amenable number.

106577367524377 is a deficient number, since it is larger than the sum of its proper divisors (1).

106577367524377 is an equidigital number, since it uses as much as digits as its factorization.

106577367524377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1089093600, while the sum is 70.

The spelling of 106577367524377 in words is "one hundred six trillion, five hundred seventy-seven billion, three hundred sixty-seven million, five hundred twenty-four thousand, three hundred seventy-seven".