100727713 has 2 divisors, whose sum is σ = 100727714. Its totient is φ = 100727712.

The previous prime is 100727707. The next prime is 100727729. The reversal of 100727713 is 317727001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56731024 + 43996689 = 7532^2 + 6633^2 .

It is an emirp because it is prime and its reverse (317727001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100727713 - 2⁵ = 100727681 is a prime.

It is not a weakly prime, because it can be changed into another prime (100727213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50363856 + 50363857.

It is an arithmetic number, because the mean of its divisors is an integer number (50363857).

Almost surely, 2^100727713 is an apocalyptic number.

It is an amenable number.

100727713 is a deficient number, since it is larger than the sum of its proper divisors (1).

100727713 is an equidigital number, since it uses as much as digits as its factorization.

100727713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 100727713 is about 10036.3196939914. The cubic root of 100727713 is about 465.2820780517.

The spelling of 100727713 in words is "one hundred million, seven hundred twenty-seven thousand, seven hundred thirteen".