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106600822704 = 243219229170141
BaseRepresentation
bin110001101000111100…
…1110111011110110000
3101012011012020212201200
41203101321313132300
53221304302311304
6120545521331200
710462445020365
oct1432171673660
9335135225650
10106600822704
1141233426982
12187b0496b00
13a08b2016ac
14523398c46c
152b8d9a3e39
hex18d1e777b0

106600822704 has 120 divisors (see below), whose sum is σ = 315409239600. Its totient is φ = 33516218880.

The previous prime is 106600822703. The next prime is 106600822751. The reversal of 106600822704 is 407228006601.

It is a super-2 number, since 2×1066008227042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106600822703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541474 + ... + 711614.

It is an arithmetic number, because the mean of its divisors is an integer number (2628410330).

Almost surely, 2106600822704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106600822704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157704619800).

106600822704 is an abundant number, since it is smaller than the sum of its proper divisors (208808416896).

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

106600822704 is a wasteful number, since it uses less digits than its factorization.

106600822704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170403 (or 170394 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 106600822704 in words is "one hundred six billion, six hundred million, eight hundred twenty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 229 304 342 456 458 684 687 912 916 1368 1374 1832 2061 2736 2748 3664 4122 4351 5496 8244 8702 10992 13053 16488 17404 26106 32976 34808 39159 52212 69616 78318 104424 156636 170141 208848 313272 340282 510423 626544 680564 1020846 1361128 1531269 2041692 2722256 3062538 3232679 4083384 6125076 6465358 8166768 9698037 12250152 12930716 19396074 24500304 25861432 29094111 38792148 38962289 51722864 58188222 77584296 77924578 116376444 116886867 155168592 155849156 232752888 233773734 311698312 350660601 465505776 467547468 623396624 701321202 740283491 935094936 1402642404 1480566982 1870189872 2220850473 2805284808 2961133964 4441700946 5610569616 5922267928 6662551419 8883401892 11844535856 13325102838 17766803784 26650205676 35533607568 53300411352 106600822704