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106173270 = 232571271327
BaseRepresentation
bin1100101010000…
…01001101010110
321101210011100100
412111001031112
5204140021040
614311354530
72426313030
oct625011526
9241704310
10106173270
1154a28605
122b682a46
1318cc5628
141015ac50
1594c3b30
hex6541356

106173270 has 96 divisors (see below), whose sum is σ = 318210048. Its totient is φ = 24058944.

The previous prime is 106173241. The next prime is 106173289. The reversal of 106173270 is 72371601.

106173270 is a `hidden beast` number, since 10 + 617 + 32 + 7 + 0 = 666.

It is a super-2 number, since 2×1061732702 = 22545526524985800, 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 47 ways as a sum of consecutive naturals, for example, 79347 + ... + 80673.

It is an arithmetic number, because the mean of its divisors is an integer number (3314688).

Almost surely, 2106173270 is an apocalyptic number.

106173270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106173270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159105024).

106173270 is an abundant number, since it is smaller than the sum of its proper divisors (212036778).

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

106173270 is a wasteful number, since it uses less digits than its factorization.

106173270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 106173270 is about 10304.0414401341. The cubic root of 106173270 is about 473.5200771883.

The spelling of 106173270 in words is "one hundred six million, one hundred seventy-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 630 635 762 889 1143 1270 1327 1778 1905 2286 2654 2667 3810 3981 4445 5334 5715 6635 7962 8001 8890 9289 11430 11943 13270 13335 16002 18578 19905 23886 26670 27867 39810 40005 46445 55734 59715 80010 83601 92890 119430 139335 167202 168529 278670 337058 418005 505587 836010 842645 1011174 1179703 1516761 1685290 2359406 2527935 3033522 3539109 5055870 5898515 7078218 7583805 10617327 11797030 15167610 17695545 21234654 35391090 53086635 106173270