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105668485 = 5133753829
BaseRepresentation
bin1100100110001…
…01111110000101
321100211111220121
412103011332011
5204022342420
614252501541
72422111246
oct623057605
9240744817
10105668485
115471332a
122b47a8b1
1318b79940
1410068ccd
1594242aa
hex64c5f85

105668485 has 32 divisors (see below), whose sum is σ = 143065440. Its totient is φ = 74400768.

The previous prime is 105668483. The next prime is 105668513. The reversal of 105668485 is 584866501.

It can be written as a sum of positive squares in 16 ways, for example, as 8014561 + 97653924 = 2831^2 + 9882^2 .

It is not a de Polignac number, because 105668485 - 21 = 105668483 is a prime.

It is a super-2 number, since 2×1056684852 = 22331657444390450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105668483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127051 + ... + 127879.

It is an arithmetic number, because the mean of its divisors is an integer number (4470795).

Almost surely, 2105668485 is an apocalyptic number.

It is an amenable number.

105668485 is a deficient number, since it is larger than the sum of its proper divisors (37396955).

105668485 is a wasteful number, since it uses less digits than its factorization.

105668485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937.

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 105668485 is about 10279.5177416064. The cubic root of 105668485 is about 472.7684578774.

The spelling of 105668485 in words is "one hundred five million, six hundred sixty-eight thousand, four hundred eighty-five".

Divisors: 1 5 13 37 53 65 185 265 481 689 829 1961 2405 3445 4145 9805 10777 25493 30673 43937 53885 127465 153365 219685 398749 571181 1625669 1993745 2855905 8128345 21133697 105668485