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106708448 = 25711231127
BaseRepresentation
bin1100101110000…
…11110111100000
321102210100110202
412113003313200
5204304132243
614331044332
72434002230
oct627036740
9242710422
10106708448
1155263700
122b8a06a8
13191520c2
1410259cc0
15957c4b8
hex65c3de0

106708448 has 144 divisors (see below), whose sum is σ = 274563072. Its totient is φ = 39916800.

The previous prime is 106708423. The next prime is 106708457. The reversal of 106708448 is 844807601.

It is a super-2 number, since 2×1067084482 = 22773385749137408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840161 + ... + 840287.

It is an arithmetic number, because the mean of its divisors is an integer number (1906688).

Almost surely, 2106708448 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 106708448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137281536).

106708448 is an abundant number, since it is smaller than the sum of its proper divisors (167854624).

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

106708448 is a wasteful number, since it uses less digits than its factorization.

106708448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 106708448 is about 10329.9781219517. The cubic root of 106708448 is about 474.3143540759.

The spelling of 106708448 in words is "one hundred six million, seven hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 121 124 127 154 176 217 224 242 248 254 308 341 352 434 484 496 508 616 682 847 868 889 968 992 1016 1232 1364 1397 1694 1736 1778 1936 2032 2387 2464 2728 2794 3388 3472 3556 3751 3872 3937 4064 4774 5456 5588 6776 6944 7112 7502 7874 9548 9779 10912 11176 13552 14224 15004 15367 15748 19096 19558 22352 26257 27104 27559 28448 30008 30734 31496 38192 39116 43307 44704 52514 55118 60016 61468 62992 76384 78232 86614 105028 107569 110236 120032 122936 125984 156464 173228 210056 215138 220472 245872 303149 312928 346456 420112 430276 440944 476377 491744 606298 692912 840224 860552 881888 952754 1212596 1385824 1721104 1905508 2425192 3334639 3442208 3811016 4850384 6669278 7622032 9700768 13338556 15244064 26677112 53354224 106708448