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106236207 = 32711413739
BaseRepresentation
bin1100101010100…
…00100100101111
321101220100200100
412111100210233
5204144024312
614313002143
72426664360
oct625204457
9241810610
10106236207
1154a70920
122b6b3353
131901817c
1410175b67
1594d75dc
hex655092f

106236207 has 48 divisors (see below), whose sum is σ = 196035840. Its totient is φ = 53827200.

The previous prime is 106236199. The next prime is 106236209. The reversal of 106236207 is 702632601.

It is a happy number.

106236207 is a `hidden beast` number, since 10 + 6 + 23 + 620 + 7 = 666.

It is not a de Polignac number, because 106236207 - 23 = 106236199 is a prime.

It is a super-2 number, since 2×1062362072 = 22572263355493698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106236209) 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, 26544 + ... + 30282.

It is an arithmetic number, because the mean of its divisors is an integer number (4084080).

Almost surely, 2106236207 is an apocalyptic number.

106236207 is a deficient number, since it is larger than the sum of its proper divisors (89799633).

106236207 is a wasteful number, since it uses less digits than its factorization.

106236207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106236207 is about 10307.0949835538. The cubic root of 106236207 is about 473.6136225361.

Adding to 106236207 its reverse (702632601), we get a palindrome (808868808).

The spelling of 106236207 in words is "one hundred six million, two hundred thirty-six thousand, two hundred seven".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 861 1353 2583 3157 3739 4059 9471 11217 26173 28413 33651 41129 78519 123387 153299 235557 287903 370161 459897 863709 1073093 1379691 1686289 2591127 3219279 5058867 9657837 11804023 15176601 35412069 106236207