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109381104 = 243574019
BaseRepresentation
bin1101000010100…
…00010111110000
321121211010200000
412201100113300
5211000143404
614504230000
72465503230
oct641202760
9247733600
10109381104
1156819708
123076b300
1319879761
1410753cc0
159909339
hex68505f0

109381104 has 120 divisors (see below), whose sum is σ = 362893440. Its totient is φ = 31243968.

The previous prime is 109381099. The next prime is 109381117. The reversal of 109381104 is 401183901.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 25207 + ... + 29225.

It is an arithmetic number, because the mean of its divisors is an integer number (3024112).

Almost surely, 2109381104 is an apocalyptic number.

109381104 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 109381104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181446720).

109381104 is an abundant number, since it is smaller than the sum of its proper divisors (253512336).

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

109381104 is an equidigital number, since it uses as much as digits as its factorization.

109381104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 109381104 is about 10458.5421546217. The cubic root of 109381104 is about 478.2416919329.

The spelling of 109381104 in words is "one hundred nine million, three hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4019 4536 6804 8038 9072 12057 13608 16076 24114 27216 28133 32152 36171 48228 56266 64304 72342 84399 96456 108513 112532 144684 168798 192912 217026 225064 253197 289368 325539 337596 434052 450128 506394 578736 651078 675192 759591 868104 976617 1012788 1302156 1350384 1519182 1736208 1953234 2025576 2278773 2604312 3038364 3906468 4051152 4557546 5208624 6076728 6836319 7812936 9115092 12153456 13672638 15625872 18230184 27345276 36460368 54690552 109381104