106132177 has 2 divisors, whose sum is σ = 106132178. Its totient is φ = 106132176.

The previous prime is 106132151. The next prime is 106132181. The reversal of 106132177 is 771231601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 14432401 = 9576^2 + 3799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106132177 is a prime.

It is a super-2 number, since 2×106132177² = 22528077989518658, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106132277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53066088 + 53066089.

It is an arithmetic number, because the mean of its divisors is an integer number (53066089).

Almost surely, 2^106132177 is an apocalyptic number.

It is an amenable number.

106132177 is a deficient number, since it is larger than the sum of its proper divisors (1).

106132177 is an equidigital number, since it uses as much as digits as its factorization.

106132177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 106132177 is about 10302.0472237318. The cubic root of 106132177 is about 473.4589793513.

Adding to 106132177 its reverse (771231601), we get a palindrome (877363778).

The spelling of 106132177 in words is "one hundred six million, one hundred thirty-two thousand, one hundred seventy-seven".