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106236234 = 232131074243
BaseRepresentation
bin1100101010100…
…00100101001010
321101220100201100
412111100211022
5204144024414
614313002230
72426664426
oct625204512
9241810640
10106236234
1154a70945
122b6b3376
13190181a0
1410175b86
1594d7609
hex655094a

106236234 has 48 divisors (see below), whose sum is σ = 250260192. Its totient is φ = 32374944.

The previous prime is 106236223. The next prime is 106236253. The reversal of 106236234 is 432632601.

106236234 is a `hidden beast` number, since 1 + 0 + 623 + 6 + 2 + 34 = 666.

It is a super-2 number, since 2×1062362342 = 22572274829005512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106236198 and 106236207.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22917 + ... + 27159.

It is an arithmetic number, because the mean of its divisors is an integer number (5213754).

Almost surely, 2106236234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106236234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125130096).

106236234 is an abundant number, since it is smaller than the sum of its proper divisors (144023958).

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

106236234 is a wasteful number, since it uses less digits than its factorization.

106236234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106236234 is about 10307.0962933311. The cubic root of 106236234 is about 473.6136626592.

Adding to 106236234 its reverse (432632601), we get a palindrome (538868835).

The spelling of 106236234 in words is "one hundred six million, two hundred thirty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1391 1926 2782 4173 4243 8346 8486 12519 12729 25038 25458 38187 55159 76374 110318 165477 330954 454001 496431 908002 992862 1362003 2724006 4086009 5902013 8172018 11804026 17706039 35412078 53118117 106236234