105880729 has 2 divisors, whose sum is σ = 105880730. Its totient is φ = 105880728.

The previous prime is 105880727. The next prime is 105880759. The reversal of 105880729 is 927088501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98307225 + 7573504 = 9915^2 + 2752^2 .

It is a cyclic number.

It is not a de Polignac number, because 105880729 - 2¹ = 105880727 is a prime.

It is a super-2 number, since 2×105880729² = 22421457547142882, which contains 22 as substring.

Together with 105880727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105880691 and 105880700.

It is not a weakly prime, because it can be changed into another prime (105880721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52940364 + 52940365.

It is an arithmetic number, because the mean of its divisors is an integer number (52940365).

Almost surely, 2^105880729 is an apocalyptic number.

It is an amenable number.

105880729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105880729 is an equidigital number, since it uses as much as digits as its factorization.

105880729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 105880729 is about 10289.8361988906. The cubic root of 105880729 is about 473.0847778646.

The spelling of 105880729 in words is "one hundred five million, eight hundred eighty thousand, seven hundred twenty-nine".