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105226065 = 32572911519
BaseRepresentation
bin1100100010110…
…01111101010001
321100000001000200
412101121331101
5203414213230
614235205413
72415256350
oct621317521
9240001020
10105226065
115444099a
122b2a6869
1318a53459
14dd91997
159388160
hex6459f51

105226065 has 48 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 46440576.

The previous prime is 105226063. The next prime is 105226103. The reversal of 105226065 is 560622501.

105226065 is a `hidden beast` number, since 1 + 0 + 52 + 2 + 606 + 5 = 666.

It is not a de Polignac number, because 105226065 - 21 = 105226063 is a prime.

It is a super-2 number, since 2×1052260652 = 22145049510768450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105226061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3376 + ... + 14894.

It is an arithmetic number, because the mean of its divisors is an integer number (4492800).

Almost surely, 2105226065 is an apocalyptic number.

105226065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105226065 is an abundant number, since it is smaller than the sum of its proper divisors (110428335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105226065 is a wasteful number, since it uses less digits than its factorization.

105226065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11563 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105226065 is about 10257.9756774911. The cubic root of 105226065 is about 472.1077285105.

Adding to 105226065 its reverse (560622501), we get a palindrome (665848566).

The spelling of 105226065 in words is "one hundred five million, two hundred twenty-six thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9135 11519 34557 57595 80633 103671 172785 241899 334051 403165 518355 725697 1002153 1209495 1670255 2338357 3006459 3628485 5010765 7015071 11691785 15032295 21045213 35075355 105226065