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108109152 = 25323112109
BaseRepresentation
bin1100111000110…
…01110101100000
321112102111212200
412130121311200
5210133443102
614421053200
72451625014
oct634316540
9245374780
10108109152
1156030008
1230257200
1319522818
1410502544
15975751c
hex6719d60

108109152 has 72 divisors (see below), whose sum is σ = 317378880. Its totient is φ = 34871040.

The previous prime is 108109151. The next prime is 108109163. The reversal of 108109152 is 251901801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108109151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2874 + ... + 14982.

It is an arithmetic number, because the mean of its divisors is an integer number (4408040).

Almost surely, 2108109152 is an apocalyptic number.

108109152 is a gapful number since it is divisible by the number (12) 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 108109152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158689440).

108109152 is an abundant number, since it is smaller than the sum of its proper divisors (209269728).

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

108109152 is a wasteful number, since it uses less digits than its factorization.

108109152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 108109152 is about 10397.5550972332. Note that the first 3 decimals coincide. The cubic root of 108109152 is about 476.3806949056.

The spelling of 108109152 in words is "one hundred eight million, one hundred nine thousand, one hundred fifty-two".

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 12109 24218 36327 48436 72654 96872 108981 145308 193744 217962 290616 375379 387488 435924 581232 750758 871848 1126137 1162464 1501516 1743696 2252274 3003032 3378411 3487392 4504548 6006064 6756822 9009096 12012128 13513644 18018192 27027288 36036384 54054576 108109152