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106608744 = 23331124079
BaseRepresentation
bin1100101101010…
…11100001101000
321102121021201000
412112223201220
5204242434434
614324555000
72433105444
oct626534150
9242537630
10106608744
11551a5800
122b852a60
13191188c8
1410231824
15955cb99
hex65ab868

106608744 has 96 divisors (see below), whose sum is σ = 325584000. Its totient is φ = 32297760.

The previous prime is 106608743. The next prime is 106608763. The reversal of 106608744 is 447806601.

106608744 = 8782 + 8792 + ... + 9982.

106608744 is a `hidden beast` number, since 1 + 0 + 6 + 608 + 7 + 44 = 666.

It is a super-2 number, since 2×1066087442 = 22730848594515072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106608699 and 106608708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106608743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24097 + ... + 28175.

It is an arithmetic number, because the mean of its divisors is an integer number (3391500).

Almost surely, 2106608744 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 106608744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162792000).

106608744 is an abundant number, since it is smaller than the sum of its proper divisors (218975256).

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

106608744 is a wasteful number, since it uses less digits than its factorization.

106608744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4095 counting only the distinct ones).

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

The square root of 106608744 is about 10325.1510400575. The cubic root of 106608744 is about 474.1665814117.

The spelling of 106608744 in words is "one hundred six million, six hundred eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4079 4356 6534 8158 8712 12237 13068 16316 24474 26136 32632 36711 44869 48948 73422 89738 97896 110133 134607 146844 179476 220266 269214 293688 358952 403821 440532 493559 538428 807642 881064 987118 1076856 1211463 1480677 1615284 1974236 2422926 2961354 3230568 3948472 4442031 4845852 5922708 8884062 9691704 11845416 13326093 17768124 26652186 35536248 53304372 106608744