Search a number
-
+
105122201 is a prime number
BaseRepresentation
bin1100100010000…
…00100110011001
321022210202112212
412101000212121
5203402402301
614233044505
72414344502
oct621004631
9238722485
10105122201
115437a958
122b256735
1318a180b2
14dd65ba9
1593674bb
hex6440999

105122201 has 2 divisors, whose sum is σ = 105122202. Its totient is φ = 105122200.

The previous prime is 105122197. The next prime is 105122249. The reversal of 105122201 is 102221501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102313225 + 2808976 = 10115^2 + 1676^2 .

It is a cyclic number.

It is not a de Polignac number, because 105122201 - 22 = 105122197 is a prime.

It is a super-2 number, since 2×1051222012 = 22101354286168802, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105142201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561100 + 52561101.

It is an arithmetic number, because the mean of its divisors is an integer number (52561101).

Almost surely, 2105122201 is an apocalyptic number.

It is an amenable number.

105122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122201 is an equidigital number, since it uses as much as digits as its factorization.

105122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 105122201 is about 10252.9118303046. The cubic root of 105122201 is about 471.9523451481.

Adding to 105122201 its reverse (102221501), we get a palindrome (207343702).

The spelling of 105122201 in words is "one hundred five million, one hundred twenty-two thousand, two hundred one".