105928729 has 2 divisors, whose sum is σ = 105928730. Its totient is φ = 105928728.

The previous prime is 105928727. The next prime is 105928733. The reversal of 105928729 is 927829501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92679129 + 13249600 = 9627^2 + 3640^2 .

It is a cyclic number.

It is not a de Polignac number, because 105928729 - 2¹ = 105928727 is a prime.

It is a super-2 number, since 2×105928729² = 22441791255110882, which contains 22 as substring.

Together with 105928727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105928723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52964364 + 52964365.

It is an arithmetic number, because the mean of its divisors is an integer number (52964365).

Almost surely, 2^105928729 is an apocalyptic number.

It is an amenable number.

105928729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105928729 is an equidigital number, since it uses as much as digits as its factorization.

105928729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 105928729 is about 10292.1683332522. The cubic root of 105928729 is about 473.1562565272.

It can be divided in two parts, 10592 and 8729, that added together give a square (19321 = 139²).

The spelling of 105928729 in words is "one hundred five million, nine hundred twenty-eight thousand, seven hundred twenty-nine".