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106681834 = 27171732591
BaseRepresentation
bin1100101101111…
…01010111101010
321102201222222001
412112331113222
5204302304314
614330321214
72433531520
oct626752752
9242658861
10106681834
1155245706
122b88920a
1319142c5c
1410250310
159574674
hex65bd5ea

106681834 has 32 divisors (see below), whose sum is σ = 194835456. Its totient is φ = 42766080.

The previous prime is 106681823. The next prime is 106681847. The reversal of 106681834 is 438186601.

It is a super-2 number, since 2×1066818342 = 22762027411207112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106681793 and 106681802.

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 15 ways as a sum of consecutive naturals, for example, 39879 + ... + 42469.

It is an arithmetic number, because the mean of its divisors is an integer number (6088608).

Almost surely, 2106681834 is an apocalyptic number.

106681834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106681834 is a deficient number, since it is larger than the sum of its proper divisors (88153622).

106681834 is a wasteful number, since it uses less digits than its factorization.

106681834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 106681834 is about 10328.6898491532. The cubic root of 106681834 is about 474.2749181110.

The spelling of 106681834 in words is "one hundred six million, six hundred eighty-one thousand, eight hundred thirty-four".

Divisors: 1 2 7 14 17 34 119 173 238 346 1211 2422 2591 2941 5182 5882 18137 20587 36274 41174 44047 88094 308329 448243 616658 896486 3137701 6275402 7620131 15240262 53340917 106681834