105217729 has 2 divisors, whose sum is σ = 105217730. Its totient is φ = 105217728.

The previous prime is 105217711. The next prime is 105217733. The reversal of 105217729 is 927712501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59290000 + 45927729 = 7700^2 + 6777^2 .

It is a cyclic number.

It is not a de Polignac number, because 105217729 - 2¹⁹ = 104693441 is a prime.

It is a super-2 number, since 2×105217729² = 22141540991834882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105217694 and 105217703.

It is not a weakly prime, because it can be changed into another prime (105217429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52608864 + 52608865.

It is an arithmetic number, because the mean of its divisors is an integer number (52608865).

Almost surely, 2^105217729 is an apocalyptic number.

It is an amenable number.

105217729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105217729 is an equidigital number, since it uses as much as digits as its factorization.

105217729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 105217729 is about 10257.5693514594. The cubic root of 105217729 is about 472.0952614031.

It can be divided in two parts, 1052 and 17729, that added together give a palindrome (18781).

The spelling of 105217729 in words is "one hundred five million, two hundred seventeen thousand, seven hundred twenty-nine".