105929729 has 2 divisors, whose sum is σ = 105929730. Its totient is φ = 105929728.

The previous prime is 105929713. The next prime is 105929741. The reversal of 105929729 is 927929501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105370225 + 559504 = 10265^2 + 748^2 .

It is a cyclic number.

It is not a de Polignac number, because 105929729 - 2⁴ = 105929713 is a prime.

It is a super-2 number, since 2×105929729² = 22442214972026882, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105929729.

It is not a weakly prime, because it can be changed into another prime (105929029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52964864 + 52964865.

It is an arithmetic number, because the mean of its divisors is an integer number (52964865).

Almost surely, 2^105929729 is an apocalyptic number.

It is an amenable number.

105929729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105929729 is an equidigital number, since it uses as much as digits as its factorization.

105929729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102060, while the sum is 44.

The square root of 105929729 is about 10292.2169137655. The cubic root of 105929729 is about 473.1577454364.

The spelling of 105929729 in words is "one hundred five million, nine hundred twenty-nine thousand, seven hundred twenty-nine".