101729729 has 2 divisors, whose sum is σ = 101729730. Its totient is φ = 101729728.

The previous prime is 101729699. The next prime is 101729777. The reversal of 101729729 is 927927101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98406400 + 3323329 = 9920^2 + 1823^2 .

It is a cyclic number.

It is not a de Polignac number, because 101729729 - 2⁸ = 101729473 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101729692 and 101729701.

It is not a weakly prime, because it can be changed into another prime (101129729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50864864 + 50864865.

It is an arithmetic number, because the mean of its divisors is an integer number (50864865).

Almost surely, 2^101729729 is an apocalyptic number.

It is an amenable number.

101729729 is a deficient number, since it is larger than the sum of its proper divisors (1).

101729729 is an equidigital number, since it uses as much as digits as its factorization.

101729729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 38.

The square root of 101729729 is about 10086.1156547008. The cubic root of 101729729 is about 466.8198297141.

The spelling of 101729729 in words is "one hundred one million, seven hundred twenty-nine thousand, seven hundred twenty-nine".