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108120144 = 243111931061
BaseRepresentation
bin1100111000111…
…00100001010000
321112110001221210
412130130201100
5210134321034
614421220120
72452002036
oct634344120
9245401853
10108120144
11560382a0
1230261640
1319527822
1410506556
15975a8e9
hex671c850

108120144 has 80 divisors (see below), whose sum is σ = 306569664. Its totient is φ = 32563200.

The previous prime is 108120143. The next prime is 108120151. The reversal of 108120144 is 441021801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 108120144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108120143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 101374 + ... + 102434.

Almost surely, 2108120144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153284832).

108120144 is an abundant number, since it is smaller than the sum of its proper divisors (198449520).

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

108120144 is a wasteful number, since it uses less digits than its factorization.

108120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 108120144 is about 10398.0836695999. The cubic root of 108120144 is about 476.3968396970.

Adding to 108120144 its reverse (441021801), we get a palindrome (549141945).

The spelling of 108120144 in words is "one hundred eight million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 264 386 528 579 772 1061 1158 1544 2122 2123 2316 3088 3183 4244 4246 4632 6366 6369 8488 8492 9264 11671 12732 12738 16976 16984 23342 25464 25476 33968 35013 46684 50928 50952 70026 93368 101904 140052 186736 204773 280104 409546 560208 614319 819092 1228638 1638184 2252503 2457276 3276368 4505006 4914552 6757509 9010012 9829104 13515018 18020024 27030036 36040048 54060072 108120144