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106201620 = 223257212041
BaseRepresentation
bin1100101010010…
…00001000010100
321101211121020100
412111020020110
5204141422440
614312134100
72426461500
oct625101024
9241747210
10106201620
1154a47938
122b697330
13190054c5
1410167300
1594cc230
hex6548214

106201620 has 108 divisors (see below), whose sum is σ = 374771124. Its totient is φ = 24272640.

The previous prime is 106201607. The next prime is 106201639. The reversal of 106201620 is 26102601.

It is a happy number.

106201620 is a `hidden beast` number, since 10 + 620 + 16 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52794756 + 53406864 = 7266^2 + 7308^2 .

It is a super-2 number, since 2×1062016202 = 22557568181248800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106201593 and 106201602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2800 + ... + 14840.

It is an arithmetic number, because the mean of its divisors is an integer number (3470103).

Almost surely, 2106201620 is an apocalyptic number.

106201620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106201620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187385562).

106201620 is an abundant number, since it is smaller than the sum of its proper divisors (268569504).

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

106201620 is a wasteful number, since it uses less digits than its factorization.

106201620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106201620 is about 10305.4170221297. The cubic root of 106201620 is about 473.5622193067.

The spelling of 106201620 in words is "one hundred six million, two hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 12041 24082 36123 48164 60205 72246 84287 108369 120410 144492 168574 180615 216738 240820 252861 337148 361230 421435 433476 505722 541845 590009 722460 758583 842870 1011444 1083690 1180018 1264305 1517166 1685740 1770027 2167380 2360036 2528610 2950045 3034332 3540054 3792915 5057220 5310081 5900090 7080108 7585830 8850135 10620162 11800180 15171660 17700270 21240324 26550405 35400540 53100810 106201620