1166106101 has 2 divisors, whose sum is σ = 1166106102. Its totient is φ = 1166106100.

The previous prime is 1166106079. The next prime is 1166106103. The reversal of 1166106101 is 1016016611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763140625 + 402965476 = 27625^2 + 20074^2 .

It is a cyclic number.

It is not a de Polignac number, because 1166106101 - 2¹⁰ = 1166105077 is a prime.

Together with 1166106103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1166106103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 583053050 + 583053051.

It is an arithmetic number, because the mean of its divisors is an integer number (583053051).

Almost surely, 2^1166106101 is an apocalyptic number.

It is an amenable number.

1166106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1166106101 is an equidigital number, since it uses as much as digits as its factorization.

1166106101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 1166106101 is about 34148.2957261413. The cubic root of 1166106101 is about 1052.5579662013.

The spelling of 1166106101 in words is "one billion, one hundred sixty-six million, one hundred six thousand, one hundred one".