105410629 has 2 divisors, whose sum is σ = 105410630. Its totient is φ = 105410628.

The previous prime is 105410611. The next prime is 105410671. The reversal of 105410629 is 926014501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101969604 + 3441025 = 10098^2 + 1855^2 .

It is an emirp because it is prime and its reverse (926014501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105410629 is a prime.

It is a super-2 number, since 2×105410629² = 22222801412351282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105410597 and 105410606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105410699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52705314 + 52705315.

It is an arithmetic number, because the mean of its divisors is an integer number (52705315).

Almost surely, 2^105410629 is an apocalyptic number.

It is an amenable number.

105410629 is a deficient number, since it is larger than the sum of its proper divisors (1).

105410629 is an equidigital number, since it uses as much as digits as its factorization.

105410629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105410629 is about 10266.9678581361. The cubic root of 105410629 is about 472.3835891752.

The spelling of 105410629 in words is "one hundred five million, four hundred ten thousand, six hundred twenty-nine".