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106823900 = 22526591621
BaseRepresentation
bin1100101111000…
…00000011011100
321110000012211202
412113200003130
5204321331100
614333335032
72434662641
oct627400334
9243005752
10106823900
1155332417
122b937478
1319192811
1410289dc8
1595a17d5
hex65e00dc

106823900 has 36 divisors (see below), whose sum is σ = 232302840. Its totient is φ = 42638400.

The previous prime is 106823897. The next prime is 106823917. The reversal of 106823900 is 9328601.

It is a super-2 number, since 2×1068239002 = 22822691222420000, 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 11 ways as a sum of consecutive naturals, for example, 65090 + ... + 66710.

Almost surely, 2106823900 is an apocalyptic number.

106823900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106823900 is an abundant number, since it is smaller than the sum of its proper divisors (125478940).

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

106823900 is a wasteful number, since it uses less digits than its factorization.

106823900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 106823900 is about 10335.5648128199. The cubic root of 106823900 is about 474.4853521068.

The spelling of 106823900 in words is "one hundred six million, eight hundred twenty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 659 1318 1621 2636 3242 3295 6484 6590 8105 13180 16210 16475 32420 32950 40525 65900 81050 162100 1068239 2136478 4272956 5341195 10682390 21364780 26705975 53411950 106823900