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105045321 = 3417311699
BaseRepresentation
bin1100100001011…
…01110101001001
321022122212002110
412100231311021
5203342422241
614231252533
72413604403
oct620556511
9238585073
10105045321
1154328117
122b21a149
13189bc0c4
14dd45b73
15934e816
hex642dd49

105045321 has 16 divisors (see below), whose sum is σ = 145454400. Its totient is φ = 67380480.

The previous prime is 105045313. The next prime is 105045323. The reversal of 105045321 is 123540501.

It is not a de Polignac number, because 105045321 - 23 = 105045313 is a prime.

It is a super-2 number, since 2×1050453212 = 22069038927986082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105045323) 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 15 ways as a sum of consecutive naturals, for example, 3130 + ... + 14828.

It is an arithmetic number, because the mean of its divisors is an integer number (9090900).

Almost surely, 2105045321 is an apocalyptic number.

It is an amenable number.

105045321 is a deficient number, since it is larger than the sum of its proper divisors (40409079).

105045321 is a wasteful number, since it uses less digits than its factorization.

105045321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105045321 is about 10249.1619657414. The cubic root of 105045321 is about 471.8372646520.

Adding to 105045321 its reverse (123540501), we get a palindrome (228585822).

The spelling of 105045321 in words is "one hundred five million, forty-five thousand, three hundred twenty-one".

Divisors: 1 3 41 73 123 219 2993 8979 11699 35097 479659 854027 1438977 2562081 35015107 105045321