Search a number
-
+
106214177 is a prime number
BaseRepresentation
bin1100101010010…
…11001100100001
321101212020110102
412111023030201
5204142323202
614312312145
72426543216
oct625131441
9241766412
10106214177
1154a56313
122b6a2655
131900b134
141016bb0d
1594d0d02
hex654b321

106214177 has 2 divisors, whose sum is σ = 106214178. Its totient is φ = 106214176.

The previous prime is 106214089. The next prime is 106214183. The reversal of 106214177 is 771412601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104939536 + 1274641 = 10244^2 + 1129^2 .

It is a cyclic number.

It is not a de Polignac number, because 106214177 - 220 = 105165601 is a prime.

It is a super-2 number, since 2×1062141772 = 22562902791574658, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106214077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53107088 + 53107089.

It is an arithmetic number, because the mean of its divisors is an integer number (53107089).

Almost surely, 2106214177 is an apocalyptic number.

It is an amenable number.

106214177 is a deficient number, since it is larger than the sum of its proper divisors (1).

106214177 is an equidigital number, since it uses as much as digits as its factorization.

106214177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 106214177 is about 10306.0262468131. The cubic root of 106214177 is about 473.5808828212.

Adding to 106214177 its reverse (771412601), we get a palindrome (877626778).

The spelling of 106214177 in words is "one hundred six million, two hundred fourteen thousand, one hundred seventy-seven".