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2105106534 = 232127920869
BaseRepresentation
bin111110101111001…
…0110000001100110
312102201010111021200
41331132112001212
513302401402114
6544515423330
7103111052556
oct17536260146
95381114250
102105106534
11990306773
124a8bb4b46
1327718828b
1415d819166
15c4c25409
hex7d796066

2105106534 has 24 divisors (see below), whose sum is σ = 4596983040. Its totient is φ = 696176208.

The previous prime is 2105106529. The next prime is 2105106541. The reversal of 2105106534 is 4356015012.

2105106534 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 1 + 0 + 653 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2105106498 and 2105106507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458149 + ... + 462720.

It is an arithmetic number, because the mean of its divisors is an integer number (191540960).

Almost surely, 22105106534 is an apocalyptic number.

2105106534 is an abundant number, since it is smaller than the sum of its proper divisors (2491876506).

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

2105106534 is a wasteful number, since it uses less digits than its factorization.

2105106534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921004 (or 921001 counting only the distinct ones).

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

The square root of 2105106534 is about 45881.4399730436. The cubic root of 2105106534 is about 1281.6163122377.

The spelling of 2105106534 in words is "two billion, one hundred five million, one hundred six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 920869 1841738 2762607 5525214 8287821 16575642 116950363 233900726 350851089 701702178 1052553267 2105106534