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108665144 = 23731992
BaseRepresentation
bin1100111101000…
…01100100111000
321120110202112222
412132201210320
5210304241034
614441023212
72456432000
oct636414470
9246422488
10108665144
115637a805
1230484b08
1319688903
1410609000
15981712e
hex67a1938

108665144 has 48 divisors (see below), whose sum is σ = 238806000. Its totient is φ = 46336752.

The previous prime is 108665131. The next prime is 108665153. The reversal of 108665144 is 441566801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×1086651442 = 23616227041081472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 545957 + ... + 546155.

It is an arithmetic number, because the mean of its divisors is an integer number (4975125).

Almost surely, 2108665144 is an apocalyptic number.

108665144 is a gapful number since it is divisible by the number (14) 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 108665144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119403000).

108665144 is an abundant number, since it is smaller than the sum of its proper divisors (130140856).

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

108665144 is an frugal number, since it uses more digits than its factorization.

108665144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 108665144 is about 10424.2574795522. The cubic root of 108665144 is about 477.1959545738.

The spelling of 108665144 in words is "one hundred eight million, six hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 199 343 392 398 686 796 1372 1393 1592 2744 2786 5572 9751 11144 19502 39004 39601 68257 78008 79202 136514 158404 273028 277207 316808 546056 554414 1108828 1940449 2217656 3880898 7761796 13583143 15523592 27166286 54332572 108665144