102414629 has 2 divisors, whose sum is σ = 102414630. Its totient is φ = 102414628.

The previous prime is 102414581. The next prime is 102414643. The reversal of 102414629 is 926414201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93993025 + 8421604 = 9695^2 + 2902^2 .

It is a cyclic number.

It is not a de Polignac number, because 102414629 - 2⁸ = 102414373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102114629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51207314 + 51207315.

It is an arithmetic number, because the mean of its divisors is an integer number (51207315).

Almost surely, 2^102414629 is an apocalyptic number.

It is an amenable number.

102414629 is a deficient number, since it is larger than the sum of its proper divisors (1).

102414629 is an equidigital number, since it uses as much as digits as its factorization.

102414629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 102414629 is about 10120.0113142229. The cubic root of 102414629 is about 467.8651159363.

The spelling of 102414629 in words is "one hundred two million, four hundred fourteen thousand, six hundred twenty-nine".