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105114386 = 21329139409
BaseRepresentation
bin1100100001111…
…10101100010010
321022210100211102
412100332230102
5203402130021
614232544402
72414312636
oct620765422
9238710742
10105114386
1154374aa3
122b252102
1318a14680
14dd62dc6
15936500b
hex643eb12

105114386 has 16 divisors (see below), whose sum is σ = 175656600. Its totient is φ = 46841088.

The previous prime is 105114353. The next prime is 105114389. The reversal of 105114386 is 683411501.

It can be written as a sum of positive squares in 4 ways, for example, as 40005625 + 65108761 = 6325^2 + 8069^2 .

It is a super-3 number, since 3×1051143863 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (105114389) 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 in 7 ways as a sum of consecutive naturals, for example, 68951 + ... + 70458.

Almost surely, 2105114386 is an apocalyptic number.

105114386 is a deficient number, since it is larger than the sum of its proper divisors (70542214).

105114386 is a wasteful number, since it uses less digits than its factorization.

105114386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139453.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 105114386 is about 10252.5307119755. The cubic root of 105114386 is about 471.9406495565.

Adding to 105114386 its reverse (683411501), we get a palindrome (788525887).

The spelling of 105114386 in words is "one hundred five million, one hundred fourteen thousand, three hundred eighty-six".

Divisors: 1 2 13 26 29 58 377 754 139409 278818 1812317 3624634 4042861 8085722 52557193 105114386