Search a number
-
+
105574681 is a prime number
BaseRepresentation
bin1100100101011…
…11000100011001
321100122202020101
412102233010121
5204011342211
614250455401
72421240622
oct622570431
9240582211
10105574681
1154659903
122b434561
1318b46034
1410042a49
1594065c1
hex64af119

105574681 has 2 divisors, whose sum is σ = 105574682. Its totient is φ = 105574680.

The previous prime is 105574673. The next prime is 105574739. The reversal of 105574681 is 186475501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104960025 + 614656 = 10245^2 + 784^2 .

It is an emirp because it is prime and its reverse (186475501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105574681 - 23 = 105574673 is a prime.

It is a super-2 number, since 2×1055746812 = 22292026536503522, which contains 22 as substring.

It is equal to p6063778 and since 105574681 and 6063778 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105574681.

It is not a weakly prime, because it can be changed into another prime (105574081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52787340 + 52787341.

It is an arithmetic number, because the mean of its divisors is an integer number (52787341).

Almost surely, 2105574681 is an apocalyptic number.

It is an amenable number.

105574681 is a deficient number, since it is larger than the sum of its proper divisors (1).

105574681 is an equidigital number, since it uses as much as digits as its factorization.

105574681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 105574681 is about 10274.9540631577. The cubic root of 105574681 is about 472.6285211635.

The spelling of 105574681 in words is "one hundred five million, five hundred seventy-four thousand, six hundred eighty-one".