106251436770769 has 2 divisors, whose sum is σ = 106251436770770. Its totient is φ = 106251436770768.

The previous prime is 106251436770631. The next prime is 106251436770839. The reversal of 106251436770769 is 967077634152601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79714308754369 + 26537128016400 = 8928287^2 + 5151420^2 .

It is a cyclic number.

It is not a de Polignac number, because 106251436770769 - 2¹³ = 106251436762577 is a prime.

It is a super-2 number, since 2×106251436770769² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106251436770769.

It is not a weakly prime, because it can be changed into another prime (106251436720769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53125718385384 + 53125718385385.

It is an arithmetic number, because the mean of its divisors is an integer number (53125718385385).

Almost surely, 2^{106251436770769} is an apocalyptic number.

It is an amenable number.

106251436770769 is a deficient number, since it is larger than the sum of its proper divisors (1).

106251436770769 is an equidigital number, since it uses as much as digits as its factorization.

106251436770769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80015040, while the sum is 64.

The spelling of 106251436770769 in words is "one hundred six trillion, two hundred fifty-one billion, four hundred thirty-six million, seven hundred seventy thousand, seven hundred sixty-nine".