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106374060 = 22345135051
BaseRepresentation
bin1100101011100…
…10001110101100
321102011100210000
412111302032230
5204212432220
614315544300
72431110312
oct625621654
9242140700
10106374060
1155055451
122b75b090
1319065b40
14101b00b2
159513390
hex65723ac

106374060 has 120 divisors (see below), whose sum is σ = 359439696. Its totient is φ = 26179200.

The previous prime is 106374043. The next prime is 106374077. The reversal of 106374060 is 60473601.

It is an interprime number because it is at equal distance from previous prime (106374043) and next prime (106374077).

It is a super-2 number, since 2×1063740602 = 22630881281767200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18535 + ... + 23585.

Almost surely, 2106374060 is an apocalyptic number.

106374060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106374060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179719848).

106374060 is an abundant number, since it is smaller than the sum of its proper divisors (253065636).

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

106374060 is a wasteful number, since it uses less digits than its factorization.

106374060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5074 counting only the distinct ones).

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

The square root of 106374060 is about 10313.7801023679. The cubic root of 106374060 is about 473.8183890058.

The spelling of 106374060 in words is "one hundred six million, three hundred seventy-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5051 5265 7020 10102 10530 15153 20204 21060 25255 30306 45459 50510 60612 65663 75765 90918 101020 131326 136377 151530 181836 196989 227295 262652 272754 303060 328315 393978 409131 454590 545508 590967 656630 681885 787956 818262 909180 984945 1181934 1313260 1363770 1636524 1772901 1969890 2045655 2363868 2727540 2954835 3545802 3939780 4091310 5318703 5909670 7091604 8182620 8864505 10637406 11819340 17729010 21274812 26593515 35458020 53187030 106374060