100505729 has 2 divisors, whose sum is σ = 100505730. Its totient is φ = 100505728.

The previous prime is 100505659. The next prime is 100505731. The reversal of 100505729 is 927505001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93993025 + 6512704 = 9695^2 + 2552^2 .

It is an emirp because it is prime and its reverse (927505001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100505729 - 2¹² = 100501633 is a prime.

Together with 100505731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100505789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50252864 + 50252865.

It is an arithmetic number, because the mean of its divisors is an integer number (50252865).

Almost surely, 2^100505729 is an apocalyptic number.

It is an amenable number.

100505729 is a deficient number, since it is larger than the sum of its proper divisors (1).

100505729 is an equidigital number, since it uses as much as digits as its factorization.

100505729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 100505729 is about 10025.2545603591. The cubic root of 100505729 is about 464.9400300354.

The spelling of 100505729 in words is "one hundred million, five hundred five thousand, seven hundred twenty-nine".