105128329 has 2 divisors, whose sum is σ = 105128330. Its totient is φ = 105128328.

The previous prime is 105128327. The next prime is 105128339. The reversal of 105128329 is 923821501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103489929 + 1638400 = 10173^2 + 1280^2 .

It is a cyclic number.

It is not a de Polignac number, because 105128329 - 2¹ = 105128327 is a prime.

It is a super-2 number, since 2×105128329² = 22103931116664482, which contains 22 as substring.

Together with 105128327, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105128329.

It is not a weakly prime, because it can be changed into another prime (105128321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52564164 + 52564165.

It is an arithmetic number, because the mean of its divisors is an integer number (52564165).

Almost surely, 2^105128329 is an apocalyptic number.

It is an amenable number.

105128329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105128329 is an equidigital number, since it uses as much as digits as its factorization.

105128329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 105128329 is about 10253.2106678835. The cubic root of 105128329 is about 471.9615156428.

Subtracting from 105128329 its product of nonzero digits (4320), we obtain a square (105124009 = 10253²).

The spelling of 105128329 in words is "one hundred five million, one hundred twenty-eight thousand, three hundred twenty-nine".