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106408126 = 211371563
BaseRepresentation
bin1100101011110…
…10100010111110
321102020002111201
412111322202332
5204220030001
614320410114
72431311526
oct625724276
9242202451
10106408126
1155079000
122b77693a
13190784b6
14101bc686
15951d501
hex657a8be

106408126 has 32 divisors (see below), whose sum is σ = 178350336. Its totient is φ = 47601400.

The previous prime is 106408123. The next prime is 106408129. The reversal of 106408126 is 621804601.

It is an interprime number because it is at equal distance from previous prime (106408123) and next prime (106408129).

It is a super-2 number, since 2×1064081262 = 22645378557663752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106408094 and 106408103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106408123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188721 + ... + 189283.

It is an arithmetic number, because the mean of its divisors is an integer number (5573448).

Almost surely, 2106408126 is an apocalyptic number.

106408126 is a deficient number, since it is larger than the sum of its proper divisors (71942210).

106408126 is an equidigital number, since it uses as much as digits as its factorization.

106408126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 106408126 is about 10315.4314500170. The cubic root of 106408126 is about 473.8689632858.

The spelling of 106408126 in words is "one hundred six million, four hundred eight thousand, one hundred twenty-six".

Divisors: 1 2 11 22 71 121 142 242 563 781 1126 1331 1562 2662 6193 8591 12386 17182 39973 68123 79946 94501 136246 189002 439703 749353 879406 1498706 4836733 9673466 53204063 106408126