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106322040 = 233251126849
BaseRepresentation
bin1100101011001…
…01100001111000
321102001201102100
412111211201320
5204204301130
614314503400
72430502536
oct625454170
9242051370
10106322040
115501a360
122b734b60
1319048266
1410199156
159502c60
hex6565878

106322040 has 96 divisors (see below), whose sum is σ = 376974000. Its totient is φ = 25774080.

The previous prime is 106322011. The next prime is 106322137. The reversal of 106322040 is 40223601.

It is a happy number.

106322040 is a `hidden beast` number, since 10 + 632 + 20 + 4 + 0 = 666.

It is a super-2 number, since 2×1063220402 = 22608752379523200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9465 + ... + 17384.

Almost surely, 2106322040 is an apocalyptic number.

106322040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106322040 is an abundant number, since it is smaller than the sum of its proper divisors (270651960).

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

106322040 is a wasteful number, since it uses less digits than its factorization.

106322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26877 (or 26870 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106322040 is about 10311.2579252000. The cubic root of 106322040 is about 473.7411394346.

Adding to 106322040 its reverse (40223601), we get a palindrome (146545641).

The spelling of 106322040 in words is "one hundred six million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 26849 53698 80547 107396 134245 161094 214792 241641 268490 295339 322188 402735 483282 536980 590678 644376 805470 886017 966564 1073960 1181356 1208205 1476695 1610940 1772034 1933128 2362712 2416410 2658051 2953390 3221880 3544068 4430085 4832820 5316102 5906780 7088136 8860170 9665640 10632204 11813560 13290255 17720340 21264408 26580510 35440680 53161020 106322040