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105919317 = 3271681259
BaseRepresentation
bin1100101000000…
…11001101010101
321101022020222200
412110003031111
5204103404232
614302115113
72424204450
oct624031525
9241266880
10105919317
1154874829
122b57ba99
1318c36b6a
14100d2497
15947377c
hex6503355

105919317 has 12 divisors (see below), whose sum is σ = 174851040. Its totient is φ = 60525288.

The previous prime is 105919273. The next prime is 105919361. The reversal of 105919317 is 713919501.

It is an interprime number because it is at equal distance from previous prime (105919273) and next prime (105919361).

It is not a de Polignac number, because 105919317 - 214 = 105902933 is a prime.

It is a super-2 number, since 2×1059193172 = 22437803427492978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105919817) 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, 840567 + ... + 840692.

It is an arithmetic number, because the mean of its divisors is an integer number (14570920).

Almost surely, 2105919317 is an apocalyptic number.

It is an amenable number.

105919317 is a deficient number, since it is larger than the sum of its proper divisors (68931723).

105919317 is a wasteful number, since it uses less digits than its factorization.

105919317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681272 (or 1681269 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 105919317 is about 10291.7110822253. The cubic root of 105919317 is about 473.1422424550.

The spelling of 105919317 in words is "one hundred five million, nine hundred nineteen thousand, three hundred seventeen".

Divisors: 1 3 7 9 21 63 1681259 5043777 11768813 15131331 35306439 105919317