Search a number
-
+
105697717 is a prime number
BaseRepresentation
bin1100100110011…
…01000110110101
321100220000000021
412103031012311
5204024311332
614253245141
72422262416
oct623150665
9240800007
10105697717
1154733294
122b4937b1
1318b8a038
141007580d
15942cc97
hex64cd1b5

105697717 has 2 divisors, whose sum is σ = 105697718. Its totient is φ = 105697716.

The previous prime is 105697679. The next prime is 105697747. The reversal of 105697717 is 717796501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103510276 + 2187441 = 10174^2 + 1479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105697717 is a prime.

It is a super-2 number, since 2×1056977172 = 22344014758024178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105697747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52848858 + 52848859.

It is an arithmetic number, because the mean of its divisors is an integer number (52848859).

Almost surely, 2105697717 is an apocalyptic number.

It is an amenable number.

105697717 is a deficient number, since it is larger than the sum of its proper divisors (1).

105697717 is an equidigital number, since it uses as much as digits as its factorization.

105697717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92610, while the sum is 43.

The square root of 105697717 is about 10280.9394998706. The cubic root of 105697717 is about 472.8120492199.

The spelling of 105697717 in words is "one hundred five million, six hundred ninety-seven thousand, seven hundred seventeen".