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106143390 = 232523471091
BaseRepresentation
bin1100101001110…
…01111010011110
321101201122100200
412110321322132
5204133042030
614311004330
72426126643
oct624717236
9241648320
10106143390
1154a08111
122b6696a6
1318cb4b52
141014ddca
1594b9d60
hex6539e9e

106143390 has 96 divisors (see below), whose sum is σ = 294368256. Its totient is φ = 26473920.

The previous prime is 106143379. The next prime is 106143391. The reversal of 106143390 is 93341601.

106143390 is a `hidden beast` number, since 10 + 614 + 3 + 39 + 0 = 666.

It is a super-2 number, since 2×1061433902 = 22532838481384200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106143391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96745 + ... + 97835.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2106143390 is an apocalyptic number.

106143390 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 106143390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

106143390 is an abundant number, since it is smaller than the sum of its proper divisors (188224866).

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

106143390 is a wasteful number, since it uses less digits than its factorization.

106143390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106143390 is about 10302.5914215793. The cubic root of 106143390 is about 473.4756526127.

Adding to 106143390 its reverse (93341601), we get a palindrome (199484991).

The spelling of 106143390 in words is "one hundred six million, one hundred forty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 47 69 90 94 115 138 141 207 230 235 282 345 414 423 470 690 705 846 1035 1081 1091 1410 2070 2115 2162 2182 3243 3273 4230 5405 5455 6486 6546 9729 9819 10810 10910 16215 16365 19458 19638 25093 32430 32730 48645 49095 50186 51277 75279 97290 98190 102554 125465 150558 153831 225837 250930 256385 307662 376395 451674 461493 512770 752790 769155 922986 1129185 1179371 1538310 2258370 2307465 2358742 3538113 4614930 5896855 7076226 10614339 11793710 17690565 21228678 35381130 53071695 106143390