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105150565 = 5133734337
BaseRepresentation
bin1100100010001…
…11100001100101
321022212012110101
412101013201211
5203404304230
614233424101
72414523262
oct621074145
9238765411
10105150565
115439a1a3
122b26b031
1318a27c90
14dd72269
159370aca
hex6447865

105150565 has 16 divisors (see below), whose sum is σ = 136282608. Its totient is φ = 77423616.

The previous prime is 105150557. The next prime is 105150571. The reversal of 105150565 is 565051501.

It can be written as a sum of positive squares in 8 ways, for example, as 31911201 + 73239364 = 5649^2 + 8558^2 .

It is a cyclic number.

It is not a de Polignac number, because 105150565 - 23 = 105150557 is a prime.

It is a super-2 number, since 2×1051505652 = 22113282639638450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22077 + ... + 26413.

It is an arithmetic number, because the mean of its divisors is an integer number (8517663).

Almost surely, 2105150565 is an apocalyptic number.

It is an amenable number.

105150565 is a deficient number, since it is larger than the sum of its proper divisors (31132043).

105150565 is a wasteful number, since it uses less digits than its factorization.

105150565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728.

The product of its (nonzero) digits is 3750, while the sum is 28.

The square root of 105150565 is about 10254.2949538230. The cubic root of 105150565 is about 471.9947886167.

The spelling of 105150565 in words is "one hundred five million, one hundred fifty thousand, five hundred sixty-five".

Divisors: 1 5 13 65 373 1865 4337 4849 21685 24245 56381 281905 1617701 8088505 21030113 105150565