106666003729 has 2 divisors, whose sum is σ = 106666003730. Its totient is φ = 106666003728.

The previous prime is 106666003669. The next prime is 106666003733. The reversal of 106666003729 is 927300666601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102877355025 + 3788648704 = 320745^2 + 61552^2 .

It is a cyclic number.

It is not a de Polignac number, because 106666003729 - 2¹⁷ = 106665872657 is a prime.

It is a super-2 number, since 2×106666003729² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106666003799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53333001864 + 53333001865.

It is an arithmetic number, because the mean of its divisors is an integer number (53333001865).

Almost surely, 2^106666003729 is an apocalyptic number.

It is an amenable number.

106666003729 is a deficient number, since it is larger than the sum of its proper divisors (1).

106666003729 is an equidigital number, since it uses as much as digits as its factorization.

106666003729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 106666003729 in words is "one hundred six billion, six hundred sixty-six million, three thousand, seven hundred twenty-nine".