105682121 has 2 divisors, whose sum is σ = 105682122. Its totient is φ = 105682120.

The previous prime is 105682103. The next prime is 105682127. The reversal of 105682121 is 121286501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105678400 + 3721 = 10280^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 105682121 - 2¹⁴ = 105665737 is a prime.

It is a super-2 number, since 2×105682121² = 22337421398117282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105682127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52841060 + 52841061.

It is an arithmetic number, because the mean of its divisors is an integer number (52841061).

Almost surely, 2^105682121 is an apocalyptic number.

It is an amenable number.

105682121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105682121 is an equidigital number, since it uses as much as digits as its factorization.

105682121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 105682121 is about 10280.1809808972. The cubic root of 105682121 is about 472.7887931533.

The spelling of 105682121 in words is "one hundred five million, six hundred eighty-two thousand, one hundred twenty-one".