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108297216 = 210333917
BaseRepresentation
bin1100111010001…
…11110000000000
321112210001212000
412131013300000
5210211002331
614425104000
72453340216
oct635076000
9245701760
10108297216
1156149335
1230328000
131958a2c1
1410550cb6
1597930e6
hex6747c00

108297216 has 88 divisors (see below), whose sum is σ = 320805840. Its totient is φ = 36089856.

The previous prime is 108297209. The next prime is 108297239. The reversal of 108297216 is 612792801.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25690 + ... + 29606.

Almost surely, 2108297216 is an apocalyptic number.

108297216 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 108297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160402920).

108297216 is an abundant number, since it is smaller than the sum of its proper divisors (212508624).

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

108297216 is an equidigital number, since it uses as much as digits as its factorization.

108297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 108297216 is about 10406.5948321245. The cubic root of 108297216 is about 476.6567682319.

The spelling of 108297216 in words is "one hundred eight million, two hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 3917 4608 6912 7834 9216 11751 13824 15668 23502 27648 31336 35253 47004 62672 70506 94008 105759 125344 141012 188016 211518 250688 282024 376032 423036 501376 564048 752064 846072 1002752 1128096 1504128 1692144 2005504 2256192 3008256 3384288 4011008 4512384 6016512 6768576 9024768 12033024 13537152 18049536 27074304 36099072 54148608 108297216