102067729 has 2 divisors, whose sum is σ = 102067730. Its totient is φ = 102067728.

The previous prime is 102067723. The next prime is 102067739. The reversal of 102067729 is 927760201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 24275329 = 8820^2 + 4927^2 .

It is a cyclic number.

It is not a de Polignac number, because 102067729 - 2¹⁷ = 101936657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102067694 and 102067703.

It is not a weakly prime, because it can be changed into another prime (102067723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51033864 + 51033865.

It is an arithmetic number, because the mean of its divisors is an integer number (51033865).

Almost surely, 2^102067729 is an apocalyptic number.

It is an amenable number.

102067729 is a deficient number, since it is larger than the sum of its proper divisors (1).

102067729 is an equidigital number, since it uses as much as digits as its factorization.

102067729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 102067729 is about 10102.8574670734. The cubic root of 102067729 is about 467.3362656904.

The spelling of 102067729 in words is "one hundred two million, sixty-seven thousand, seven hundred twenty-nine".