106111601 has 2 divisors, whose sum is σ = 106111602. Its totient is φ = 106111600.

The previous prime is 106111547. The next prime is 106111613.

106111601 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., 83539600 + 22572001 = 9140^2 + 4751^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 106111601 - 2¹⁰ = 106110577 is a prime.

It is a super-2 number, since 2×106111601² = 22519343733566402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106111601.

It is not a weakly prime, because it can be changed into another prime (106111631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53055800 + 53055801.

It is an arithmetic number, because the mean of its divisors is an integer number (53055801).

Almost surely, 2^106111601 is an apocalyptic number.

It is an amenable number.

106111601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106111601 is an equidigital number, since it uses as much as digits as its factorization.

106111601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 106111601 is about 10301.0485388624. The cubic root of 106111601 is about 473.4283806461.

The spelling of 106111601 in words is "one hundred six million, one hundred eleven thousand, six hundred one".