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106821676 = 221317149811
BaseRepresentation
bin1100101110111…
…11100000101100
321110000002210101
412113133200230
5204321243201
614333320444
72434653313
oct627374054
9243002711
10106821676
1155330785
122b936124
13191917c0
141028927a
1595a0d01
hex65df82c

106821676 has 48 divisors (see below), whose sum is σ = 214855200. Its totient is φ = 46033920.

The previous prime is 106821653. The next prime is 106821713. The reversal of 106821676 is 676128601.

It is a super-2 number, since 2×1068216762 = 22821740926897952, which contains 22 as substring.

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, 131311 + ... + 132121.

It is an arithmetic number, because the mean of its divisors is an integer number (4476150).

Almost surely, 2106821676 is an apocalyptic number.

It is an amenable number.

106821676 is an abundant number, since it is smaller than the sum of its proper divisors (108033524).

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

106821676 is a wasteful number, since it uses less digits than its factorization.

106821676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 106821676 is about 10335.4572225906. The cubic root of 106821676 is about 474.4820592646.

The spelling of 106821676 in words is "one hundred six million, eight hundred twenty-one thousand, six hundred seventy-six".

Divisors: 1 2 4 13 17 26 34 52 68 149 221 298 442 596 811 884 1622 1937 2533 3244 3874 5066 7748 10132 10543 13787 21086 27574 32929 42172 55148 65858 120839 131716 179231 241678 358462 483356 716924 1570907 2054263 3141814 4108526 6283628 8217052 26705419 53410838 106821676