Search a number
-
+
106965697 is a prime number
BaseRepresentation
bin1100110000000…
…10101011000001
321110021102100111
412120002223001
5204340400242
614340351321
72436123226
oct630025301
9243242314
10106965697
1155419a03
122b9a5541
1319212217
14102c594d
1595cd817
hex6602ac1

106965697 has 2 divisors, whose sum is σ = 106965698. Its totient is φ = 106965696.

The previous prime is 106965667. The next prime is 106965739. The reversal of 106965697 is 796569601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83887281 + 23078416 = 9159^2 + 4804^2 .

It is an emirp because it is prime and its reverse (796569601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106965697 - 27 = 106965569 is a prime.

It is a super-2 number, since 2×1069656972 = 22883320669391618, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106965697.

It is not a weakly prime, because it can be changed into another prime (106965637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53482848 + 53482849.

It is an arithmetic number, because the mean of its divisors is an integer number (53482849).

Almost surely, 2106965697 is an apocalyptic number.

It is an amenable number.

106965697 is a deficient number, since it is larger than the sum of its proper divisors (1).

106965697 is an equidigital number, since it uses as much as digits as its factorization.

106965697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 612360, while the sum is 49.

The square root of 106965697 is about 10342.4222017862. The cubic root of 106965697 is about 474.6952016886.

It can be divided in two parts, 1069 and 65697, that added together give a palindrome (66766).

The spelling of 106965697 in words is "one hundred six million, nine hundred sixty-five thousand, six hundred ninety-seven".