105773729 has 2 divisors, whose sum is σ = 105773730. Its totient is φ = 105773728.

The previous prime is 105773719. The next prime is 105773737. The reversal of 105773729 is 927377501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102718225 + 3055504 = 10135^2 + 1748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105773729 is a prime.

It is a super-2 number, since 2×105773729² = 22376163493130882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105773719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52886864 + 52886865.

It is an arithmetic number, because the mean of its divisors is an integer number (52886865).

Almost surely, 2^105773729 is an apocalyptic number.

It is an amenable number.

105773729 is a deficient number, since it is larger than the sum of its proper divisors (1).

105773729 is an equidigital number, since it uses as much as digits as its factorization.

105773729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92610, while the sum is 41.

The square root of 105773729 is about 10284.6355793484. The cubic root of 105773729 is about 472.9253622246.

The spelling of 105773729 in words is "one hundred five million, seven hundred seventy-three thousand, seven hundred twenty-nine".