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106143360 = 273559937
BaseRepresentation
bin1100101001110…
…01111010000000
321101201122022120
412110321322000
5204133041420
614311004240
72426126601
oct624717200
9241648276
10106143360
1154a08094
122b669680
1318cb4b2b
141014dda8
1594b9d40
hex6539e80

106143360 has 128 divisors (see below), whose sum is σ = 344433600. Its totient is φ = 27795456.

The previous prime is 106143347. The next prime is 106143377. The reversal of 106143360 is 63341601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1061433602 = 22532825744179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106143360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112812 + ... + 113748.

Almost surely, 2106143360 is an apocalyptic number.

106143360 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 106143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172216800).

106143360 is an abundant number, since it is smaller than the sum of its proper divisors (238290240).

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

106143360 is an equidigital number, since it uses as much as digits as its factorization.

106143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106143360 is about 10302.5899656349. The cubic root of 106143360 is about 473.4756080055.

Adding to 106143360 its reverse (63341601), we get a palindrome (169484961).

The spelling of 106143360 in words is "one hundred six million, one hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 295 320 354 384 472 480 590 640 708 885 937 944 960 1180 1416 1770 1874 1888 1920 2360 2811 2832 3540 3748 3776 4685 4720 5622 5664 7080 7496 7552 9370 9440 11244 11328 14055 14160 14992 18740 18880 22488 22656 28110 28320 29984 37480 37760 44976 55283 56220 56640 59968 74960 89952 110566 112440 113280 119936 149920 165849 179904 221132 224880 276415 299840 331698 359808 442264 449760 552830 599680 663396 829245 884528 899520 1105660 1326792 1658490 1769056 1799040 2211320 2653584 3316980 3538112 4422640 5307168 6633960 7076224 8845280 10614336 13267920 17690560 21228672 26535840 35381120 53071680 106143360