Search a number
-
+
106367141 is a prime number
BaseRepresentation
bin1100101011100…
…00100010100101
321102011000021202
412111300202211
5204212222031
614315452245
72431051166
oct625604245
9242130252
10106367141
1155050231
122b757085
131906294a
14101ab76d
1595112cb
hex65708a5

106367141 has 2 divisors, whose sum is σ = 106367142. Its totient is φ = 106367140.

The previous prime is 106367089. The next prime is 106367167. The reversal of 106367141 is 141763601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77968900 + 28398241 = 8830^2 + 5329^2 .

It is a cyclic number.

It is not a de Polignac number, because 106367141 - 226 = 39258277 is a prime.

It is a super-2 number, since 2×1063671412 = 22627937369027762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106367741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53183570 + 53183571.

It is an arithmetic number, because the mean of its divisors is an integer number (53183571).

Almost surely, 2106367141 is an apocalyptic number.

It is an amenable number.

106367141 is a deficient number, since it is larger than the sum of its proper divisors (1).

106367141 is an equidigital number, since it uses as much as digits as its factorization.

106367141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 106367141 is about 10313.4446718834. Note that the first 3 decimals coincide. The cubic root of 106367141 is about 473.8081157602.

The spelling of 106367141 in words is "one hundred six million, three hundred sixty-seven thousand, one hundred forty-one".