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108055296 = 2837193
BaseRepresentation
bin1100111000011…
…00101100000000
321112022210000000
412130030230000
5210130232141
614420000000
72451312006
oct634145400
9245283000
10108055296
1155aa35a8
1230230000
131950415b
14104caa76
1597465b6
hex670cb00

108055296 has 144 divisors (see below), whose sum is σ = 325159520. Its totient is φ = 35831808.

The previous prime is 108055289. The next prime is 108055301. The reversal of 108055296 is 692550801.

It is a happy number.

108055296 is a `hidden beast` number, since 10 + 8 + 0 + 552 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 108055296.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559776 + ... + 559968.

Almost surely, 2108055296 is an apocalyptic number.

108055296 is a gapful number since it is divisible by the number (16) 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 108055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162579760).

108055296 is an abundant number, since it is smaller than the sum of its proper divisors (217104224).

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

108055296 is an frugal number, since it uses more digits than its factorization.

108055296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 108055296 is about 10394.9649350058. The cubic root of 108055296 is about 476.3015766573.

The spelling of 108055296 in words is "one hundred eight million, fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 193 216 243 256 288 324 384 386 432 486 576 579 648 729 768 772 864 972 1152 1158 1296 1458 1544 1728 1737 1944 2187 2304 2316 2592 2916 3088 3456 3474 3888 4374 4632 5184 5211 5832 6176 6912 6948 7776 8748 9264 10368 10422 11664 12352 13896 15552 15633 17496 18528 20736 20844 23328 24704 27792 31104 31266 34992 37056 41688 46656 46899 49408 55584 62208 62532 69984 74112 83376 93312 93798 111168 125064 139968 140697 148224 166752 186624 187596 222336 250128 279936 281394 333504 375192 422091 444672 500256 559872 562788 667008 750384 844182 1000512 1125576 1334016 1500768 1688364 2001024 2251152 3001536 3376728 4002048 4502304 6003072 6753456 9004608 12006144 13506912 18009216 27013824 36018432 54027648 108055296