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105170517 = 3217687389
BaseRepresentation
bin1100100010011…
…00011001010101
321022220012211100
412101030121111
5203410424032
614234100313
72414635404
oct621143125
9238805740
10105170517
1154403191
122b27a699
1318a3409a
14dd7963b
15937697c
hex644c655

105170517 has 12 divisors (see below), whose sum is σ = 160849260. Its totient is φ = 65989248.

The previous prime is 105170489. The next prime is 105170531. The reversal of 105170517 is 715071501.

It can be written as a sum of positive squares in 2 ways, for example, as 46049796 + 59120721 = 6786^2 + 7689^2 .

It is not a de Polignac number, because 105170517 - 212 = 105166421 is a prime.

It is a super-2 number, since 2×1051705172 = 22121675292094578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105170557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343542 + ... + 343847.

It is an arithmetic number, because the mean of its divisors is an integer number (13404105).

Almost surely, 2105170517 is an apocalyptic number.

105170517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105170517 is a deficient number, since it is larger than the sum of its proper divisors (55678743).

105170517 is a wasteful number, since it uses less digits than its factorization.

105170517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687412 (or 687409 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

The square root of 105170517 is about 10255.2677683228. The cubic root of 105170517 is about 472.0246399207.

The spelling of 105170517 in words is "one hundred five million, one hundred seventy thousand, five hundred seventeen".

Divisors: 1 3 9 17 51 153 687389 2062167 6186501 11685613 35056839 105170517