105068829 has 16 divisors (see below), whose sum is σ = 143509248. Its totient is φ = 68346432.

The previous prime is 105068819. The next prime is 105068833. The reversal of 105068829 is 928860501.

It is not a de Polignac number, because 105068829 - 2⁷ = 105068701 is a prime.

It is a super-2 number, since 2×105068829² = 22078917654862482, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105068819) 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 in 15 ways as a sum of consecutive naturals, for example, 55039 + ... + 56915.

It is an arithmetic number, because the mean of its divisors is an integer number (8969328).

Almost surely, 2^105068829 is an apocalyptic number.

It is an amenable number.

105068829 is a deficient number, since it is larger than the sum of its proper divisors (38440419).

105068829 is a wasteful number, since it uses less digits than its factorization.

105068829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 105068829 is about 10250.3087270579. The cubic root of 105068829 is about 471.8724593755.

The spelling of 105068829 in words is "one hundred five million, sixty-eight thousand, eight hundred twenty-nine".