105388681 has 2 divisors, whose sum is σ = 105388682. Its totient is φ = 105388680.

The previous prime is 105388651. The next prime is 105388693. The reversal of 105388681 is 186883501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91393600 + 13995081 = 9560^2 + 3741^2 .

It is a cyclic number.

It is not a de Polignac number, because 105388681 - 2⁹ = 105388169 is a prime.

It is a super-2 number, since 2×105388681² = 22213548165839522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105388601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52694340 + 52694341.

It is an arithmetic number, because the mean of its divisors is an integer number (52694341).

Almost surely, 2^105388681 is an apocalyptic number.

It is an amenable number.

105388681 is a deficient number, since it is larger than the sum of its proper divisors (1).

105388681 is an equidigital number, since it uses as much as digits as its factorization.

105388681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 105388681 is about 10265.8989377453. The cubic root of 105388681 is about 472.3508012271.

The spelling of 105388681 in words is "one hundred five million, three hundred eighty-eight thousand, six hundred eighty-one".