105553829 has 2 divisors, whose sum is σ = 105553830. Its totient is φ = 105553828.

The previous prime is 105553817. The next prime is 105553837. The reversal of 105553829 is 928355501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92121604 + 13432225 = 9598^2 + 3665^2 .

It is a cyclic number.

It is not a de Polignac number, because 105553829 - 2⁴ = 105553813 is a prime.

It is a super-2 number, since 2×105553829² = 22283221633122482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105553792 and 105553801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105553849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52776914 + 52776915.

It is an arithmetic number, because the mean of its divisors is an integer number (52776915).

Almost surely, 2^105553829 is an apocalyptic number.

It is an amenable number.

105553829 is a deficient number, since it is larger than the sum of its proper divisors (1).

105553829 is an equidigital number, since it uses as much as digits as its factorization.

105553829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 38.

The square root of 105553829 is about 10273.9393126493. The cubic root of 105553829 is about 472.5974029108.

The spelling of 105553829 in words is "one hundred five million, five hundred fifty-three thousand, eight hundred twenty-nine".