429188330105 has 16 divisors (see below), whose sum is σ = 517816396944. Its totient is φ = 341491584000.

The previous prime is 429188330099. The next prime is 429188330141. The reversal of 429188330105 is 501033881924.

It can be written as a sum of positive squares in 8 ways, for example, as 9477411904 + 419710918201 = 97352^2 + 647851^2 .

It is not a de Polignac number, because 429188330105 - 2¹⁴ = 429188313721 is a prime.

It is a super-2 number, since 2×429188330105² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2883389 + ... + 3028581.

It is an arithmetic number, because the mean of its divisors is an integer number (32363524809).

Almost surely, 2^429188330105 is an apocalyptic number.

It is an amenable number.

429188330105 is a deficient number, since it is larger than the sum of its proper divisors (88628066839).

429188330105 is a wasteful number, since it uses less digits than its factorization.

429188330105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148396.

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 429188330105 in words is "four hundred twenty-nine billion, one hundred eighty-eight million, three hundred thirty thousand, one hundred five".