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10025106 = 2372134361
BaseRepresentation
bin100110001111…
…100010010010
3200212022212020
4212033202102
510031300411
6554512310
7151132500
oct46174222
920768766
1010025106
115728013
123435696
132100120
14148d670
15d30606
hex98f892

10025106 has 96 divisors (see below), whose sum is σ = 26123328. Its totient is φ = 2540160.

The previous prime is 10025101. The next prime is 10025107. The reversal of 10025106 is 60152001.

It is a super-2 number, since 2×100251062 = 201005500622472, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164316 + ... + 164376.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

Almost surely, 210025106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10025106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664).

10025106 is an abundant number, since it is smaller than the sum of its proper divisors (16098222).

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

10025106 is a wasteful number, since it uses less digits than its factorization.

10025106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10025106 is about 3166.2447789140. The cubic root of 10025106 is about 215.6236157861.

Adding to 10025106 its reverse (60152001), we get a palindrome (70177107).

The spelling of 10025106 in words is "ten million, twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 49 61 78 86 91 98 122 129 147 182 183 258 273 294 301 366 427 546 559 602 637 793 854 903 1118 1274 1281 1586 1677 1806 1911 2107 2379 2562 2623 2989 3354 3822 3913 4214 4758 5246 5551 5978 6321 7826 7869 8967 11102 11739 12642 15738 16653 17934 18361 23478 27391 33306 34099 36722 38857 54782 55083 68198 77714 82173 102297 110166 116571 128527 164346 204594 233142 238693 257054 385581 477386 716079 771162 1432158 1670851 3341702 5012553 10025106