Search a number
-
+
105344401 is a prime number
BaseRepresentation
bin1100100011101…
…10110110010001
321100020001100111
412101312312101
5203432010101
614241521321
72416261351
oct621666621
9240201314
10105344401
1154511898
122b343241
1318a95286
14ddc2b61
1593ad251
hex6476d91

105344401 has 2 divisors, whose sum is σ = 105344402. Its totient is φ = 105344400.

The previous prime is 105344381. The next prime is 105344411. The reversal of 105344401 is 104443501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 27552001 = 8820^2 + 5249^2 .

It is a cyclic number.

It is not a de Polignac number, because 105344401 - 27 = 105344273 is a prime.

It is a super-2 number, since 2×1053444012 = 22194885644097602, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105344411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672200 + 52672201.

It is an arithmetic number, because the mean of its divisors is an integer number (52672201).

Almost surely, 2105344401 is an apocalyptic number.

It is an amenable number.

105344401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105344401 is an equidigital number, since it uses as much as digits as its factorization.

105344401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 105344401 is about 10263.7420563847. The cubic root of 105344401 is about 472.2846378173.

Adding to 105344401 its reverse (104443501), we get a palindrome (209787902).

It can be divided in two parts, 1053 and 44401, that added together give a palindrome (45454).

The spelling of 105344401 in words is "one hundred five million, three hundred forty-four thousand, four hundred one".