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108894816 = 25323112197
BaseRepresentation
bin1100111110110…
…01101001100000
321120220102121100
412133121221200
5210334113231
614445554400
72461406412
oct637315140
9246812540
10108894816
1156517318
1230575a00
1319739304
14106689b2
1598601e6
hex67d9a60

108894816 has 72 divisors (see below), whose sum is σ = 319685184. Its totient is φ = 35124480.

The previous prime is 108894787. The next prime is 108894859. The reversal of 108894816 is 618498801.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2830 + ... + 15026.

It is an arithmetic number, because the mean of its divisors is an integer number (4440072).

Almost surely, 2108894816 is an apocalyptic number.

108894816 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 108894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159842592).

108894816 is an abundant number, since it is smaller than the sum of its proper divisors (210790368).

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

108894816 is a wasteful number, since it uses less digits than its factorization.

108894816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12244 (or 12233 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 108894816 is about 10435.2678930634. The cubic root of 108894816 is about 477.5319145724.

The spelling of 108894816 in words is "one hundred eight million, eight hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 12197 24394 36591 48788 73182 97576 109773 146364 195152 219546 292728 378107 390304 439092 585456 756214 878184 1134321 1170912 1512428 1756368 2268642 3024856 3402963 3512736 4537284 6049712 6805926 9074568 12099424 13611852 18149136 27223704 36298272 54447408 108894816