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105244545113 is a prime number
BaseRepresentation
bin110001000000100010…
…0000101000001011001
3101001122200011211122022
41202001010011001121
53211020100420423
6120203151504225
710414025605331
oct1420104050131
9331580154568
10105244545113
11406a7890504
1218492228075
139c03220b86
1451457bc0c1
152b0e898dc8
hex1881105059

105244545113 has 2 divisors, whose sum is σ = 105244545114. Its totient is φ = 105244545112.

The previous prime is 105244545079. The next prime is 105244545143. The reversal of 105244545113 is 311545442501.

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., 66351577744 + 38892967369 = 257588^2 + 197213^2 .

It is a cyclic number.

It is not a de Polignac number, because 105244545113 - 216 = 105244479577 is a prime.

It is a super-2 number, since 2×1052445451132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105244545143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52622272556 + 52622272557.

It is an arithmetic number, because the mean of its divisors is an integer number (52622272557).

Almost surely, 2105244545113 is an apocalyptic number.

It is an amenable number.

105244545113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105244545113 is an equidigital number, since it uses as much as digits as its factorization.

105244545113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 105244545113 its reverse (311545442501), we get a palindrome (416789987614).

The spelling of 105244545113 in words is "one hundred five billion, two hundred forty-four million, five hundred forty-five thousand, one hundred thirteen".