Search a number
-
+
105000613 is a prime number
BaseRepresentation
bin1100100001000…
…10111010100101
321022120120202121
412100202322211
5203340004423
614230305541
72413330144
oct620427245
9238516677
10105000613
11542a7573
122b1b82b1
13189a4953
14dd3375b
15934145d
hex6422ea5

105000613 has 2 divisors, whose sum is σ = 105000614. Its totient is φ = 105000612.

The previous prime is 105000611. The next prime is 105000629. The reversal of 105000613 is 316000501.

It is an a-pointer prime, because the next prime (105000629) can be obtained adding 105000613 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76772644 + 28227969 = 8762^2 + 5313^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000613 - 21 = 105000611 is a prime.

It is a super-2 number, since 2×1050006132 = 22050257460751538, which contains 22 as substring.

Together with 105000611, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500306 + 52500307.

It is an arithmetic number, because the mean of its divisors is an integer number (52500307).

Almost surely, 2105000613 is an apocalyptic number.

It is an amenable number.

105000613 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000613 is an equidigital number, since it uses as much as digits as its factorization.

105000613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105000613 is about 10246.9806772532. The cubic root of 105000613 is about 471.7703161081.

The spelling of 105000613 in words is "one hundred five million, six hundred thirteen", and thus it is an aban number.