102729493 has 2 divisors, whose sum is σ = 102729494. Its totient is φ = 102729492.

The previous prime is 102729481. The next prime is 102729503. The reversal of 102729493 is 394927201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84768849 + 17960644 = 9207^2 + 4238^2 .

It is a cyclic number.

It is not a de Polignac number, because 102729493 - 2¹⁷ = 102598421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102729413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51364746 + 51364747.

It is an arithmetic number, because the mean of its divisors is an integer number (51364747).

Almost surely, 2^102729493 is an apocalyptic number.

It is an amenable number.

102729493 is a deficient number, since it is larger than the sum of its proper divisors (1).

102729493 is an equidigital number, since it uses as much as digits as its factorization.

102729493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 102729493 is about 10135.5558801676. Note that the first 3 decimals coincide. The cubic root of 102729493 is about 468.3440942917.

The spelling of 102729493 in words is "one hundred two million, seven hundred twenty-nine thousand, four hundred ninety-three".