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105050517 = 31113244873
BaseRepresentation
bin1100100001011…
…11000110010101
321022200010012220
412100233012111
5203343104032
614231332553
72413625505
oct620570625
9238603186
10105050517
1154331010
122b221159
13189c1590
14dd47a05
15935112c
hex642f195

105050517 has 16 divisors (see below), whose sum is σ = 164555328. Its totient is φ = 58769280.

The previous prime is 105050483. The next prime is 105050551. The reversal of 105050517 is 715050501.

It is an interprime number because it is at equal distance from previous prime (105050483) and next prime (105050551).

It is not a de Polignac number, because 105050517 - 210 = 105049493 is a prime.

It is a super-2 number, since 2×1050505172 = 22071222243934578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105050597) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 122008 + ... + 122865.

It is an arithmetic number, because the mean of its divisors is an integer number (10284708).

Almost surely, 2105050517 is an apocalyptic number.

It is an amenable number.

105050517 is a deficient number, since it is larger than the sum of its proper divisors (59504811).

105050517 is a wasteful number, since it uses less digits than its factorization.

105050517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244900.

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 105050517 is about 10249.4154467462. The cubic root of 105050517 is about 471.8450442338.

The spelling of 105050517 in words is "one hundred five million, fifty thousand, five hundred seventeen".

Divisors: 1 3 11 13 33 39 143 429 244873 734619 2693603 3183349 8080809 9550047 35016839 105050517