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105033045 = 35131928349
BaseRepresentation
bin1100100001010…
…10110101010101
321022122020020210
412100222311111
5203342024140
614231120033
72413523535
oct620526525
9238566223
10105033045
1154319977
122b213019
13189b6640
14dd414c5
15934ad80
hex642ad55

105033045 has 32 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 48985344.

The previous prime is 105033037. The next prime is 105033101. The reversal of 105033045 is 540330501.

It is not a de Polignac number, because 105033045 - 23 = 105033037 is a prime.

It is a super-2 number, since 2×1050330452 = 22063881083944050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10470 + ... + 17879.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2105033045 is an apocalyptic number.

105033045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105033045 is a deficient number, since it is larger than the sum of its proper divisors (85478955).

105033045 is a wasteful number, since it uses less digits than its factorization.

105033045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28389.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105033045 is about 10248.5630700113. The cubic root of 105033045 is about 471.8188836971.

Adding to 105033045 its reverse (540330501), we get a palindrome (645363546).

The spelling of 105033045 in words is "one hundred five million, thirty-three thousand, forty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1235 3705 28349 85047 141745 368537 425235 538631 1105611 1615893 1842685 2693155 5528055 7002203 8079465 21006609 35011015 105033045