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106522350 = 23521125869
BaseRepresentation
bin1100101100101…
…10011011101110
321102102220012020
412112112123232
5204232203400
614323051010
72432265534
oct626263356
9242386166
10106522350
1155146900
122b810a66
13190b849c
141020c154
1595422a0
hex65966ee

106522350 has 72 divisors (see below), whose sum is σ = 290424120. Its totient is φ = 25819200.

The previous prime is 106522343. The next prime is 106522373. The reversal of 106522350 is 53225601.

It is a super-2 number, since 2×1065223502 = 22694022099045000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106522350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15216 + ... + 21084.

Almost surely, 2106522350 is an apocalyptic number.

106522350 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 106522350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145212060).

106522350 is an abundant number, since it is smaller than the sum of its proper divisors (183901770).

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

106522350 is a wasteful number, since it uses less digits than its factorization.

106522350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 106522350 is about 10320.9665245073. The cubic root of 106522350 is about 474.0384611566.

Adding to 106522350 its reverse (53225601), we get a palindrome (159747951).

The spelling of 106522350 in words is "one hundred six million, five hundred twenty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 3025 3630 5869 6050 9075 11738 17607 18150 29345 35214 58690 64559 88035 129118 146725 176070 193677 293450 322795 387354 440175 645590 710149 880350 968385 1420298 1613975 1936770 2130447 3227950 3550745 4260894 4841925 7101490 9683850 10652235 17753725 21304470 35507450 53261175 106522350