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10550106 = 2327313773
BaseRepresentation
bin101000001111…
…101101011010
3201212000000200
4220033231122
510200100411
61014043030
7155450220
oct50175532
921760020
1010550106
115a564a6
123649476
132255088
141588b10
15dd5e56
hexa0fb5a

10550106 has 96 divisors (see below), whose sum is σ = 28075008. Its totient is φ = 2799360.

The previous prime is 10550101. The next prime is 10550129. The reversal of 10550106 is 60105501.

10550106 is a `hidden beast` number, since 10 + 550 + 106 = 666.

It is a super-2 number, since 2×105501062 = 222609473222472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10550101) 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 47 ways as a sum of consecutive naturals, for example, 144486 + ... + 144558.

It is an arithmetic number, because the mean of its divisors is an integer number (292448).

Almost surely, 210550106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10550106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14037504).

10550106 is an abundant number, since it is smaller than the sum of its proper divisors (17524902).

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

10550106 is a wasteful number, since it uses less digits than its factorization.

10550106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10550106 is about 3248.0926710918. The cubic root of 10550106 is about 219.3237221568.

Adding to 10550106 its reverse (60105501), we get a palindrome (70655607).

The spelling of 10550106 in words is "ten million, five hundred fifty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 31 37 42 62 63 73 74 93 111 126 146 186 217 219 222 259 279 333 434 438 511 518 558 651 657 666 777 1022 1147 1302 1314 1533 1554 1953 2263 2294 2331 2701 3066 3441 3906 4526 4599 4662 5402 6789 6882 8029 8103 9198 10323 13578 15841 16058 16206 18907 20367 20646 24087 24309 31682 37814 40734 47523 48174 48618 56721 72261 83731 95046 113442 142569 144522 167462 170163 251193 285138 340326 502386 586117 753579 1172234 1507158 1758351 3516702 5275053 10550106