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106197014 = 27211294379
BaseRepresentation
bin1100101010001…
…11000000010110
321101211100220202
412111013000112
5204141301024
614312100502
72426442200
oct625070026
9241740822
10106197014
1154a44430
122b694732
1319003391
1410165770
1594cabae
hex6547016

106197014 has 96 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 38525760.

The previous prime is 106196989. The next prime is 106197029. The reversal of 106197014 is 410791601.

It is a super-2 number, since 2×1061970142 = 22555611565032392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344227 + ... + 1344305.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 2106197014 is an apocalyptic number.

106197014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106197014 is an abundant number, since it is smaller than the sum of its proper divisors (110494186).

106197014 is a wasteful number, since it uses less digits than its factorization.

106197014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 106197014 is about 10305.1935450044. The cubic root of 106197014 is about 473.5553730234. Note that the first 3 decimals are identical.

The spelling of 106197014 in words is "one hundred six million, one hundred ninety-seven thousand, fourteen".

Divisors: 1 2 7 11 14 22 29 43 49 58 77 79 86 98 154 158 203 301 319 406 473 539 553 602 638 869 946 1078 1106 1247 1421 1738 2107 2233 2291 2494 2842 3311 3397 3871 4214 4466 4582 6083 6622 6794 7742 8729 12166 13717 15631 16037 17458 23177 23779 25201 27434 31262 32074 37367 42581 46354 47558 50402 61103 74734 85162 96019 98513 112259 122206 166453 176407 192038 197026 224518 261569 332906 352814 523138 672133 689591 1083643 1234849 1344266 1379182 1830983 2167286 2469698 3661966 4827137 7585501 9654274 15171002 53098507 106197014