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105806076 = 22341832591
BaseRepresentation
bin1100100111001…
…11100011111100
321101002111122120
412103213203330
5204041243301
614255442540
72423223345
oct623474374
9241074576
10105806076
11547a7742
122b526450
1318bc745c
14100a30cc
15944ee36
hex64e78fc

105806076 has 48 divisors (see below), whose sum is σ = 256048128. Its totient is φ = 33980800.

The previous prime is 105806053. The next prime is 105806083. The reversal of 105806076 is 670608501.

It is a super-2 number, since 2×1058060762 = 22389851437035552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39541 + ... + 42131.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2105806076 is an apocalyptic number.

It is an amenable number.

105806076 is an abundant number, since it is smaller than the sum of its proper divisors (150242052).

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

105806076 is a wasteful number, since it uses less digits than its factorization.

105806076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 105806076 is about 10286.2080476724. The cubic root of 105806076 is about 472.9735662468.

The spelling of 105806076 in words is "one hundred five million, eight hundred six thousand, seventy-six".

Divisors: 1 2 3 4 6 12 41 82 83 123 164 166 246 249 332 492 498 996 2591 3403 5182 6806 7773 10209 10364 13612 15546 20418 31092 40836 106231 212462 215053 318693 424924 430106 637386 645159 860212 1274772 1290318 2580636 8817173 17634346 26451519 35268692 52903038 105806076