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106496214 = 231123832
BaseRepresentation
bin1100101100100…
…00000011010110
321102101120100020
412112100003112
5204230334324
614322330010
72432126406
oct626200326
9242346306
10106496214
1155129200
122b7b9906
13190a9616
1410202806
159539679
hex65900d6

106496214 has 36 divisors (see below), whose sum is σ = 234728508. Its totient is φ = 32187320.

The previous prime is 106496209. The next prime is 106496227. The reversal of 106496214 is 412694601.

106496214 = T1417 + T1418 + ... + T1515.

It is a super-2 number, since 2×1064962142 = 22682887192667592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 277867 + ... + 278249.

Almost surely, 2106496214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106496214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117364254).

106496214 is an abundant number, since it is smaller than the sum of its proper divisors (128232294).

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

106496214 is an equidigital number, since it uses as much as digits as its factorization.

106496214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 106496214 is about 10319.7002863455. The cubic root of 106496214 is about 473.9996884400. Note that the first 3 decimals are identical.

The spelling of 106496214 in words is "one hundred six million, four hundred ninety-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 383 726 766 1149 2298 4213 8426 12639 25278 46343 92686 139029 146689 278058 293378 440067 880134 1613579 3227158 4840737 9681474 17749369 35498738 53248107 106496214