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106665644140 = 225112983919927
BaseRepresentation
bin110001101010111000…
…1001001000001101100
3101012022201020011000121
41203111301021001230
53221422401103030
6121000154534324
710464163005226
oct1432561110154
9335281204017
10106665644140
1141266a80210
121880a1373a4
13a09b779083
14523c423416
152b9450a47a
hex18d5c4906c

106665644140 has 96 divisors (see below), whose sum is σ = 253101542400. Its totient is φ = 37403493120.

The previous prime is 106665644093. The next prime is 106665644159. The reversal of 106665644140 is 41446566601.

It is a happy number.

It is a super-2 number, since 2×1066656441402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5342857 + ... + 5362783.

It is an arithmetic number, because the mean of its divisors is an integer number (2636474400).

Almost surely, 2106665644140 is an apocalyptic number.

106665644140 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 106665644140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126550771200).

106665644140 is an abundant number, since it is smaller than the sum of its proper divisors (146435898260).

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

106665644140 is a wasteful number, since it uses less digits than its factorization.

106665644140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20815 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 106665644140 in words is "one hundred six billion, six hundred sixty-five million, six hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 839 1276 1595 1678 3190 3356 4195 6380 8390 9229 16780 18458 19927 24331 36916 39854 46145 48662 79708 92290 97324 99635 121655 184580 199270 219197 243310 267641 398540 438394 486620 535282 577883 876788 1070564 1095985 1155766 1338205 2191970 2311532 2676410 2889415 4383940 5352820 5778830 6356713 11557660 12713426 16718753 25426852 31783565 33437506 63567130 66875012 83593765 127134260 167187530 183906283 334375060 367812566 484843837 735625132 919531415 969687674 1839062830 1939375348 2424219185 3678125660 4848438370 5333282207 9696876740 10666564414 21333128828 26666411035 53332822070 106665644140