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106045254 = 2337472127
BaseRepresentation
bin1100101001000…
…01111101000110
321101112122202000
412110201331012
5204121422004
614304530130
72425240560
oct624417506
9241478660
10106045254
1154950407
122b620946
1318c7c293
1410126330
15949ac39
hex6521f46

106045254 has 96 divisors (see below), whose sum is σ = 277340160. Its totient is φ = 29420496.

The previous prime is 106045217. The next prime is 106045259. The reversal of 106045254 is 452540601.

106045254 is a `hidden beast` number, since 1 + 0 + 604 + 5 + 2 + 54 = 666.

It is a super-2 number, since 2×1060452542 = 22491191791849032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106045259) 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, 834939 + ... + 835065.

It is an arithmetic number, because the mean of its divisors is an integer number (2888960).

Almost surely, 2106045254 is an apocalyptic number.

106045254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106045254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138670080).

106045254 is an abundant number, since it is smaller than the sum of its proper divisors (171294906).

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

106045254 is a wasteful number, since it uses less digits than its factorization.

106045254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 106045254 is about 10297.8276349918. The cubic root of 106045254 is about 473.3296886360.

Adding to 106045254 its reverse (452540601), we get a palindrome (558585855).

The spelling of 106045254 in words is "one hundred six million, forty-five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 127 141 189 254 282 329 378 381 423 658 762 846 889 987 1143 1269 1778 1974 2209 2286 2538 2667 2961 3429 4418 5334 5922 5969 6627 6858 8001 8883 11938 13254 15463 16002 17766 17907 19881 24003 30926 35814 39762 41783 46389 48006 53721 59643 83566 92778 107442 119286 125349 139167 161163 250698 278334 280543 322326 376047 417501 561086 752094 835002 841629 1128141 1683258 1963801 2256282 2524887 3927602 5049774 5891403 7574661 11782806 15149322 17674209 35348418 53022627 106045254