105610601 has 2 divisors, whose sum is σ = 105610602. Its totient is φ = 105610600.

The previous prime is 105610577. The next prime is 105610619. The reversal of 105610601 is 106016501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102495376 + 3115225 = 10124^2 + 1765^2 .

It is a cyclic number.

It is not a de Polignac number, because 105610601 - 2¹⁰ = 105609577 is a prime.

It is a super-2 number, since 2×105610601² = 22307198087162402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105610621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805300 + 52805301.

It is an arithmetic number, because the mean of its divisors is an integer number (52805301).

Almost surely, 2^105610601 is an apocalyptic number.

It is an amenable number.

105610601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105610601 is an equidigital number, since it uses as much as digits as its factorization.

105610601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105610601 is about 10276.7018541943. The cubic root of 105610601 is about 472.6821163732.

The spelling of 105610601 in words is "one hundred five million, six hundred ten thousand, six hundred one".