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106343180 = 225371311097
BaseRepresentation
bin1100101011010…
…10101100001100
321102002210102022
412111222230030
5204210440210
614315145312
72430621266
oct625525414
9242083368
10106343180
1155034229
122b745238
1319054a78
14101a2b36
159509155
hex656ab0c

106343180 has 48 divisors (see below), whose sum is σ = 231317856. Its totient is φ = 41034240.

The previous prime is 106343179. The next prime is 106343183. The reversal of 106343180 is 81343601.

It is a super-2 number, since 2×1063431802 = 22617743865024800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106343183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96392 + ... + 97488.

It is an arithmetic number, because the mean of its divisors is an integer number (4819122).

Almost surely, 2106343180 is an apocalyptic number.

106343180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106343180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115658928).

106343180 is an abundant number, since it is smaller than the sum of its proper divisors (124974676).

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

106343180 is a wasteful number, since it uses less digits than its factorization.

106343180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 106343180 is about 10312.2829674132. The cubic root of 106343180 is about 473.7725353208.

Adding to 106343180 its reverse (81343601), we get a palindrome (187686781).

The spelling of 106343180 in words is "one hundred six million, three hundred forty-three thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 131 148 185 262 370 524 655 740 1097 1310 2194 2620 4388 4847 5485 9694 10970 19388 21940 24235 40589 48470 81178 96940 143707 162356 202945 287414 405890 574828 718535 811780 1437070 2874140 5317159 10634318 21268636 26585795 53171590 106343180