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106452234 = 232723109337
BaseRepresentation
bin1100101100001…
…01010100001010
321102022100000100
412112011110022
5204222432414
614321350230
72431554240
oct626052412
9242270010
10106452234
11550a9159
122b798376
13190925b5
14101d0790
15952b609
hex658550a

106452234 has 96 divisors (see below), whose sum is σ = 278403840. Its totient is φ = 28740096.

The previous prime is 106452223. The next prime is 106452271. The reversal of 106452234 is 432254601.

106452234 is a `hidden beast` number, since 10 + 645 + 2 + 2 + 3 + 4 = 666.

It is a super-2 number, since 2×1064522342 = 22664156247181512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106452198 and 106452207.

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 47 ways as a sum of consecutive naturals, for example, 315714 + ... + 316050.

It is an arithmetic number, because the mean of its divisors is an integer number (2900040).

Almost surely, 2106452234 is an apocalyptic number.

106452234 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 106452234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139201920).

106452234 is an abundant number, since it is smaller than the sum of its proper divisors (171951606).

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

106452234 is a wasteful number, since it uses less digits than its factorization.

106452234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106452234 is about 10317.5691904634. The cubic root of 106452234 is about 473.9344298552.

The spelling of 106452234 in words is "one hundred six million, four hundred fifty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 109 126 138 161 207 218 322 327 337 414 483 654 674 763 966 981 1011 1449 1526 1962 2022 2289 2359 2507 2898 3033 4578 4718 5014 6066 6867 7077 7521 7751 13734 14154 15042 15502 17549 21231 22563 23253 35098 36733 42462 45126 46506 52647 54257 69759 73466 105294 108514 110199 139518 157941 162771 220398 257131 315882 325542 330597 488313 514262 661194 771393 844859 976626 1542786 1689718 2314179 2534577 4628358 5069154 5914013 7603731 11828026 15207462 17742039 35484078 53226117 106452234