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105682086 = 23234916823
BaseRepresentation
bin1100100110010…
…01010010100110
321100212012120100
412103021102212
5204023311321
614253044530
72422166016
oct623112246
9240765510
10105682086
1154722574
122b486746
1318b82ba3
141006dc46
159428326
hex64c94a6

105682086 has 24 divisors (see below), whose sum is σ = 229647600. Its totient is φ = 35124336.

The previous prime is 105682063. The next prime is 105682103. The reversal of 105682086 is 680286501.

It is a happy number.

105682086 is a `hidden beast` number, since 10 + 568 + 2 + 0 + 86 = 666.

It is a super-2 number, since 2×1056820862 = 22337406602622792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105682086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (9568650).

Almost surely, 2105682086 is an apocalyptic number.

105682086 is an abundant number, since it is smaller than the sum of its proper divisors (123965514).

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

105682086 is a wasteful number, since it uses less digits than its factorization.

105682086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105682086 is about 10280.1792785924. The cubic root of 105682086 is about 472.7887409603.

The spelling of 105682086 in words is "one hundred five million, six hundred eighty-two thousand, eighty-six".

Divisors: 1 2 3 6 9 18 349 698 1047 2094 3141 6282 16823 33646 50469 100938 151407 302814 5871227 11742454 17613681 35227362 52841043 105682086