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106704070 = 251117431327
BaseRepresentation
bin1100101110000…
…10110011000110
321102210010110121
412113002303012
5204304012240
614331012154
72433653404
oct627026306
9242703417
10106704070
1155260390
122b89a05a
1319150105
1410258474
15957b04a
hex65c2cc6

106704070 has 64 divisors (see below), whose sum is σ = 227183616. Its totient is φ = 35642880.

The previous prime is 106704049. The next prime is 106704071. The reversal of 106704070 is 70407601.

It is a super-3 number, since 3×1067040703 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106704071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79747 + ... + 81073.

It is an arithmetic number, because the mean of its divisors is an integer number (3549744).

Almost surely, 2106704070 is an apocalyptic number.

106704070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106704070 is an abundant number, since it is smaller than the sum of its proper divisors (120479546).

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

106704070 is a wasteful number, since it uses less digits than its factorization.

106704070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 106704070 is about 10329.7662122625. The cubic root of 106704070 is about 474.3078673147.

The spelling of 106704070 in words is "one hundred six million, seven hundred four thousand, seventy".

Divisors: 1 2 5 10 11 17 22 34 43 55 85 86 110 170 187 215 374 430 473 731 935 946 1327 1462 1870 2365 2654 3655 4730 6635 7310 8041 13270 14597 16082 22559 29194 40205 45118 57061 72985 80410 112795 114122 145970 225590 248149 285305 496298 570610 627671 970037 1240745 1255342 1940074 2481490 3138355 4850185 6276710 9700370 10670407 21340814 53352035 106704070