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108096144 = 24313211821
BaseRepresentation
bin1100111000101…
…10101010010000
321112101212000220
412130112222100
5210133034034
614420513040
72451542052
oct634265220
9245355026
10108096144
1156021262
123024b780
1319519920
14104db8d2
159753749
hex6716a90

108096144 has 80 divisors (see below), whose sum is σ = 302522304. Its totient is φ = 33062400.

The previous prime is 108096143. The next prime is 108096161. The reversal of 108096144 is 441690801.

It is not an unprimeable number, because it can be changed into a prime (108096143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131254 + ... + 132074.

Almost surely, 2108096144 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 108096144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151261152).

108096144 is an abundant number, since it is smaller than the sum of its proper divisors (194426160).

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

108096144 is a wasteful number, since it uses less digits than its factorization.

108096144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 108096144 is about 10396.9295467460. The cubic root of 108096144 is about 476.3615876468.

The spelling of 108096144 in words is "one hundred eight million, ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 211 312 422 624 633 821 844 1266 1642 1688 2463 2532 2743 3284 3376 4926 5064 5486 6568 8229 9852 10128 10673 10972 13136 16458 19704 21346 21944 32019 32916 39408 42692 43888 64038 65832 85384 128076 131664 170768 173231 256152 346462 512304 519693 692924 1039386 1385848 2078772 2252003 2771696 4157544 4504006 6756009 8315088 9008012 13512018 18016024 27024036 36032048 54048072 108096144