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106322670 = 23251997641
BaseRepresentation
bin1100101011001…
…01101011101110
321102001202021200
412111211223232
5204204311140
614314510330
72430504426
oct625455356
9242052250
10106322670
115501a883
122b7353a6
131904862c
1410199486
159503030
hex6565aee

106322670 has 96 divisors (see below), whose sum is σ = 294446880. Its totient is φ = 26542080.

The previous prime is 106322663. The next prime is 106322683. The reversal of 106322670 is 76223601.

It is a happy number.

106322670 is a `hidden beast` number, since 1 + 0 + 632 + 26 + 7 + 0 = 666.

It is a super-2 number, since 2×1063226702 = 22609020311857800, 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, 165550 + ... + 166190.

It is an arithmetic number, because the mean of its divisors is an integer number (3067155).

Almost surely, 2106322670 is an apocalyptic number.

106322670 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 106322670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147223440).

106322670 is an abundant number, since it is smaller than the sum of its proper divisors (188124210).

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

106322670 is a wasteful number, since it uses less digits than its factorization.

106322670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106322670 is about 10311.2884742887. The cubic root of 106322670 is about 473.7420751338.

The spelling of 106322670 in words is "one hundred six million, three hundred twenty-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 97 114 171 190 194 285 291 342 485 570 582 641 855 873 970 1282 1455 1710 1746 1843 1923 2910 3205 3686 3846 4365 5529 5769 6410 8730 9215 9615 11058 11538 12179 16587 18430 19230 24358 27645 28845 33174 36537 55290 57690 60895 62177 73074 82935 109611 121790 124354 165870 182685 186531 219222 310885 365370 373062 548055 559593 621770 932655 1096110 1119186 1181363 1865310 2362726 2797965 3544089 5595930 5906815 7088178 10632267 11813630 17720445 21264534 35440890 53161335 106322670