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106059525 = 352112132931
BaseRepresentation
bin1100101001001…
…01011100000101
321101120101022120
412110211130011
5204122401100
614305120153
72425330305
oct624453405
9241511276
10106059525
1154960100
122b629059
1318c85920
141012b605
1594a00a0
hex6525705

106059525 has 144 divisors (see below), whose sum is σ = 221652480. Its totient is φ = 44352000.

The previous prime is 106059511. The next prime is 106059571. The reversal of 106059525 is 525950601.

It is not a de Polignac number, because 106059525 - 25 = 106059493 is a prime.

It is a super-2 number, since 2×1060595252 = 22497245686451250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3421260 + ... + 3421290.

Almost surely, 2106059525 is an apocalyptic number.

106059525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106059525 is an abundant number, since it is smaller than the sum of its proper divisors (115592955).

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

106059525 is a wasteful number, since it uses less digits than its factorization.

106059525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 106059525 is about 10298.5205248133. The cubic root of 106059525 is about 473.3509204050.

The spelling of 106059525 in words is "one hundred six million, fifty-nine thousand, five hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 29 31 33 39 55 65 75 87 93 121 143 145 155 165 195 275 319 325 341 363 377 403 429 435 465 605 715 725 775 825 899 957 975 1023 1131 1209 1573 1595 1705 1815 1885 2015 2145 2175 2325 2697 3025 3509 3575 3751 4147 4433 4495 4719 4785 5115 5655 6045 7865 7975 8525 9075 9425 9889 10075 10527 10725 11253 11687 12441 13299 13485 17545 18755 20735 22165 22475 23595 23925 25575 28275 29667 30225 35061 39325 45617 48763 49445 52635 56265 58435 62205 66495 67425 87725 93775 103675 108779 110825 117975 128557 136851 146289 148335 175305 228085 243815 247225 263175 281325 292175 311025 326337 332475 385671 543895 642785 684255 731445 741675 876525 1140425 1219075 1414127 1631685 1928355 2719475 3213925 3421275 3657225 4242381 7070635 8158425 9641775 21211905 35353175 106059525