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106059060 = 223253183229
BaseRepresentation
bin1100101001001…
…01010100110100
321101120100200100
412110211110310
5204122342220
614305114100
72425326042
oct624452464
9241510610
10106059060
115495a818
122b628930
1318c85653
141012b392
15949ed90
hex6525534

106059060 has 144 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 26922240.

The previous prime is 106058993. The next prime is 106059077. The reversal of 106059060 is 60950601.

106059060 is a `hidden beast` number, since 10 + 6 + 0 + 590 + 60 = 666.

It is a super-2 number, since 2×1060590602 = 22497048416167200, 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, 463026 + ... + 463254.

It is an arithmetic number, because the mean of its divisors is an integer number (2344160).

Almost surely, 2106059060 is an apocalyptic number.

106059060 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 106059060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).

106059060 is an abundant number, since it is smaller than the sum of its proper divisors (231499980).

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

106059060 is a wasteful number, since it uses less digits than its factorization.

106059060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106059060 is about 10298.4979487302. The cubic root of 106059060 is about 473.3502286283.

The spelling of 106059060 in words is "one hundred six million, fifty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 83 90 93 124 155 166 180 186 229 249 279 310 332 372 415 458 465 498 558 620 687 747 830 916 930 996 1116 1145 1245 1374 1395 1494 1660 1860 2061 2290 2490 2573 2748 2790 2988 3435 3735 4122 4580 4980 5146 5580 6870 7099 7470 7719 8244 10292 10305 12865 13740 14198 14940 15438 19007 20610 21297 23157 25730 28396 30876 35495 38014 38595 41220 42594 46314 51460 57021 63891 70990 76028 77190 85188 92628 95035 106485 114042 115785 127782 141980 154380 171063 190070 212970 228084 231570 255564 285105 319455 342126 380140 425940 463140 570210 589217 638910 684252 855315 1140420 1178434 1277820 1710630 1767651 2356868 2946085 3421260 3535302 5302953 5892170 7070604 8838255 10605906 11784340 17676510 21211812 26514765 35353020 53029530 106059060