105413929 has 2 divisors, whose sum is σ = 105413930. Its totient is φ = 105413928.

The previous prime is 105413863. The next prime is 105413953. The reversal of 105413929 is 929314501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83539600 + 21874329 = 9140^2 + 4677^2 .

It is an emirp because it is prime and its reverse (929314501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105413929 - 2¹³ = 105405737 is a prime.

It is a super-2 number, since 2×105413929² = 22224192854434082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105413894 and 105413903.

It is not a weakly prime, because it can be changed into another prime (105413969) 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, 52706964 + 52706965.

It is an arithmetic number, because the mean of its divisors is an integer number (52706965).

Almost surely, 2^105413929 is an apocalyptic number.

It is an amenable number.

105413929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413929 is an equidigital number, since it uses as much as digits as its factorization.

105413929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 105413929 is about 10267.1285664493. The cubic root of 105413929 is about 472.3885186261.

The spelling of 105413929 in words is "one hundred five million, four hundred thirteen thousand, nine hundred twenty-nine".