105273821 has 2 divisors, whose sum is σ = 105273822. Its totient is φ = 105273820.

The previous prime is 105273767. The next prime is 105273841. The reversal of 105273821 is 128372501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87516025 + 17757796 = 9355^2 + 4214^2 .

It is a cyclic number.

It is not a de Polignac number, because 105273821 - 2⁶ = 105273757 is a prime.

It is a super-2 number, since 2×105273821² = 22165154775880082, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105273841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52636910 + 52636911.

It is an arithmetic number, because the mean of its divisors is an integer number (52636911).

Almost surely, 2^105273821 is an apocalyptic number.

It is an amenable number.

105273821 is a deficient number, since it is larger than the sum of its proper divisors (1).

105273821 is an equidigital number, since it uses as much as digits as its factorization.

105273821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 105273821 is about 10260.3031631624. The cubic root of 105273821 is about 472.1791384689.

The spelling of 105273821 in words is "one hundred five million, two hundred seventy-three thousand, eight hundred twenty-one".