105612929 has 2 divisors, whose sum is σ = 105612930. Its totient is φ = 105612928.

The previous prime is 105612907. The next prime is 105612931. The reversal of 105612929 is 929216501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105534529 + 78400 = 10273^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 105612929 - 2⁸ = 105612673 is a prime.

It is a super-2 number, since 2×105612929² = 22308181543918082, which contains 22 as substring.

Together with 105612931, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (105612979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52806464 + 52806465.

It is an arithmetic number, because the mean of its divisors is an integer number (52806465).

Almost surely, 2^105612929 is an apocalyptic number.

It is an amenable number.

105612929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105612929 is an equidigital number, since it uses as much as digits as its factorization.

105612929 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 35.

The square root of 105612929 is about 10276.8151194813. The cubic root of 105612929 is about 472.6855894964.

The spelling of 105612929 in words is "one hundred five million, six hundred twelve thousand, nine hundred twenty-nine".