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106234050 = 235213157347
BaseRepresentation
bin1100101010100…
…00000011000010
321101220020201110
412111100003002
5204143442200
614312544150
72426655156
oct625200302
9241806643
10106234050
1154a6a23a
122b6b2056
13190171b0
1410175066
1594d6b50
hex65500c2

106234050 has 96 divisors (see below), whose sum is σ = 286356672. Its totient is φ = 25908480.

The previous prime is 106234039. The next prime is 106234081. The reversal of 106234050 is 50432601.

It is a happy number.

It is a super-2 number, since 2×1062340502 = 22571346758805000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305977 + ... + 306323.

It is an arithmetic number, because the mean of its divisors is an integer number (2982882).

Almost surely, 2106234050 is an apocalyptic number.

106234050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106234050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143178336).

106234050 is an abundant number, since it is smaller than the sum of its proper divisors (180122622).

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

106234050 is a wasteful number, since it uses less digits than its factorization.

106234050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106234050 is about 10306.9903463620. The cubic root of 106234050 is about 473.6104171271.

Adding to 106234050 its reverse (50432601), we get a palindrome (156666651).

The spelling of 106234050 in words is "one hundred six million, two hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 157 195 314 325 347 390 471 650 694 785 942 975 1041 1570 1735 1950 2041 2082 2355 3470 3925 4082 4511 4710 5205 6123 7850 8675 9022 10205 10410 11775 12246 13533 17350 20410 22555 23550 26025 27066 30615 45110 51025 52050 54479 61230 67665 102050 108958 112775 135330 153075 163437 225550 272395 306150 326874 338325 544790 676650 708227 817185 1361975 1416454 1634370 2124681 2723950 3541135 4085925 4249362 7082270 8171850 10623405 17705675 21246810 35411350 53117025 106234050