105724961 has 2 divisors, whose sum is σ = 105724962. Its totient is φ = 105724960.

The previous prime is 105724933. The next prime is 105724979. The reversal of 105724961 is 169427501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87534736 + 18190225 = 9356^2 + 4265^2 .

It is an emirp because it is prime and its reverse (169427501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105724961 - 2¹⁸ = 105462817 is a prime.

It is a super-2 number, since 2×105724961² = 22355534756903042, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6071885 and since 105724961 and 6071885 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105724901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52862480 + 52862481.

It is an arithmetic number, because the mean of its divisors is an integer number (52862481).

Almost surely, 2^105724961 is an apocalyptic number.

It is an amenable number.

105724961 is a deficient number, since it is larger than the sum of its proper divisors (1).

105724961 is an equidigital number, since it uses as much as digits as its factorization.

105724961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 105724961 is about 10282.2643906875. The cubic root of 105724961 is about 472.8526687819.

The spelling of 105724961 in words is "one hundred five million, seven hundred twenty-four thousand, nine hundred sixty-one".