Search a number
-
+
106557697 is a prime number
BaseRepresentation
bin1100101100111…
…11000100000001
321102111200200101
412112133010001
5204234321242
614323522401
72432503561
oct626370401
9242450611
10106557697
1155170414
122b829401
13190cb5bc
141021ada1
15954c9b7
hex659f101

106557697 has 2 divisors, whose sum is σ = 106557698. Its totient is φ = 106557696.

The previous prime is 106557679. The next prime is 106557709. The reversal of 106557697 is 796755601.

It is a happy number.

Together with previous prime (106557679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104878081 + 1679616 = 10241^2 + 1296^2 .

It is a cyclic number.

It is not a de Polignac number, because 106557697 - 219 = 106033409 is a prime.

It is a super-2 number, since 2×1065576972 = 22709085579887618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106557097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53278848 + 53278849.

It is an arithmetic number, because the mean of its divisors is an integer number (53278849).

Almost surely, 2106557697 is an apocalyptic number.

It is an amenable number.

106557697 is a deficient number, since it is larger than the sum of its proper divisors (1).

106557697 is an equidigital number, since it uses as much as digits as its factorization.

106557697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 106557697 is about 10322.6787705518. The cubic root of 106557697 is about 474.0908882903.

The spelling of 106557697 in words is "one hundred six million, five hundred fifty-seven thousand, six hundred ninety-seven".