105336629 has 2 divisors, whose sum is σ = 105336630. Its totient is φ = 105336628.

The previous prime is 105336611. The next prime is 105336643. The reversal of 105336629 is 926633501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82992100 + 22344529 = 9110^2 + 4727^2 .

It is a cyclic number.

It is not a de Polignac number, because 105336629 - 2²⁰ = 104288053 is a prime.

It is a super-2 number, since 2×105336629² = 22191610818167282, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105336689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52668314 + 52668315.

It is an arithmetic number, because the mean of its divisors is an integer number (52668315).

Almost surely, 2^105336629 is an apocalyptic number.

It is an amenable number.

105336629 is a deficient number, since it is larger than the sum of its proper divisors (1).

105336629 is an equidigital number, since it uses as much as digits as its factorization.

105336629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 105336629 is about 10263.3634350538. The cubic root of 105336629 is about 472.2730229413.

The spelling of 105336629 in words is "one hundred five million, three hundred thirty-six thousand, six hundred twenty-nine".