106555601 has 2 divisors, whose sum is σ = 106555602. Its totient is φ = 106555600.

The previous prime is 106555583. The next prime is 106555607.

106555601 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102495376 + 4060225 = 10124^2 + 2015^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106555601 is a prime.

It is a super-2 number, since 2×106555601² = 22708192208942402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_6116825 and since 106555601 and 6116825 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 (106555607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53277800 + 53277801.

It is an arithmetic number, because the mean of its divisors is an integer number (53277801).

Almost surely, 2^106555601 is an apocalyptic number.

It is an amenable number.

106555601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106555601 is an equidigital number, since it uses as much as digits as its factorization.

106555601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 106555601 is about 10322.5772460176. The cubic root of 106555601 is about 474.0877797991.

The spelling of 106555601 in words is "one hundred six million, five hundred fifty-five thousand, six hundred one".