105000629 has 2 divisors, whose sum is σ = 105000630. Its totient is φ = 105000628.

The previous prime is 105000613. The next prime is 105000659. The reversal of 105000629 is 926000501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68724100 + 36276529 = 8290^2 + 6023^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000629 - 2⁴ = 105000613 is a prime.

It is a super-2 number, since 2×105000629² = 22050264180791282, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000659) 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, 52500314 + 52500315.

It is an arithmetic number, because the mean of its divisors is an integer number (52500315).

Almost surely, 2^105000629 is an apocalyptic number.

It is an amenable number.

105000629 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000629 is an equidigital number, since it uses as much as digits as its factorization.

105000629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105000629 is about 10246.9814579709. The cubic root of 105000629 is about 471.7703400709.

The spelling of 105000629 in words is "one hundred five million, six hundred twenty-nine", and thus it is an aban number.