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106803444 = 2231123127277
BaseRepresentation
bin1100101110110…
…11000011110100
321102222011210010
412113123003310
5204320202234
614333100220
72434546206
oct627330364
9242864703
10106803444
1155319010
122b927670
1319186407
1410282776
15959a6e9
hex65db0f4

106803444 has 96 divisors (see below), whose sum is σ = 286949376. Its totient is φ = 30602880.

The previous prime is 106803407. The next prime is 106803449. The reversal of 106803444 is 444308601.

It is a super-2 number, since 2×1068034442 = 22813951300522272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106803449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385434 + ... + 385710.

It is an arithmetic number, because the mean of its divisors is an integer number (2989056).

Almost surely, 2106803444 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 106803444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143474688).

106803444 is an abundant number, since it is smaller than the sum of its proper divisors (180145932).

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

106803444 is a wasteful number, since it uses less digits than its factorization.

106803444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 106803444 is about 10334.5751726909. The cubic root of 106803444 is about 474.4550633419.

The spelling of 106803444 in words is "one hundred six million, eight hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 127 132 138 253 254 276 277 381 506 508 554 759 762 831 1012 1108 1397 1518 1524 1662 2794 2921 3036 3047 3324 4191 5588 5842 6094 6371 8382 8763 9141 11684 12188 12742 16764 17526 18282 19113 25484 32131 35052 35179 36564 38226 64262 70081 70358 76452 96393 105537 128524 140162 140716 192786 210243 211074 280324 385572 386969 420486 422148 773938 809117 840972 1160907 1547876 1618234 2321814 2427351 3236468 4643628 4854702 8900287 9709404 17800574 26700861 35601148 53401722 106803444