100006729 has 2 divisors, whose sum is σ = 100006730. Its totient is φ = 100006728.

The previous prime is 100006721. The next prime is 100006757. The reversal of 100006729 is 927600001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57078025 + 42928704 = 7555^2 + 6552^2 .

It is an emirp because it is prime and its reverse (927600001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100006729 - 2³ = 100006721 is a prime.

It is not a weakly prime, because it can be changed into another prime (100006721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50003364 + 50003365.

It is an arithmetic number, because the mean of its divisors is an integer number (50003365).

Almost surely, 2^100006729 is an apocalyptic number.

It is an amenable number.

100006729 is a deficient number, since it is larger than the sum of its proper divisors (1).

100006729 is an equidigital number, since it uses as much as digits as its factorization.

100006729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 100006729 is about 10000.3364443403. The cubic root of 100006729 is about 464.1692942115.

The spelling of 100006729 in words is "one hundred million, six thousand, seven hundred twenty-nine".