105872029 has 2 divisors, whose sum is σ = 105872030. Its totient is φ = 105872028.

The previous prime is 105872017. The next prime is 105872033. The reversal of 105872029 is 920278501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73359225 + 32512804 = 8565^2 + 5702^2 .

It is a cyclic number.

It is not a de Polignac number, because 105872029 - 2⁹ = 105871517 is a prime.

It is a super-2 number, since 2×105872029² = 22417773049153682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105871985 and 105872003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105872329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52936014 + 52936015.

It is an arithmetic number, because the mean of its divisors is an integer number (52936015).

Almost surely, 2^105872029 is an apocalyptic number.

It is an amenable number.

105872029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105872029 is an equidigital number, since it uses as much as digits as its factorization.

105872029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 105872029 is about 10289.4134429519. The cubic root of 105872029 is about 473.0718200446.

The spelling of 105872029 in words is "one hundred five million, eight hundred seventy-two thousand, twenty-nine".