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108082100 = 22527592617
BaseRepresentation
bin1100111000100…
…11001110110100
321112101010202202
412130103032310
5210132111400
614420324032
72451453110
oct634231664
9245333682
10108082100
1156011755
1230243618
1319513409
14104d6740
15974e4d5
hex67133b4

108082100 has 72 divisors (see below), whose sum is σ = 272690880. Its totient is φ = 36414720.

The previous prime is 108082081. The next prime is 108082103. The reversal of 108082100 is 1280801.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108082103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39992 + ... + 42608.

Almost surely, 2108082100 is an apocalyptic number.

108082100 is a gapful number since it is divisible by the number (10) 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 108082100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136345440).

108082100 is an abundant number, since it is smaller than the sum of its proper divisors (164608780).

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

108082100 is a wasteful number, since it uses less digits than its factorization.

108082100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 108082100 is about 10396.2541331001. The cubic root of 108082100 is about 476.3409569020.

The spelling of 108082100 in words is "one hundred eight million, eighty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 826 1180 1475 1652 2065 2617 2950 4130 5234 5900 8260 10325 10468 13085 18319 20650 26170 36638 41300 52340 65425 73276 91595 130850 154403 183190 261700 308806 366380 457975 617612 772015 915950 1080821 1544030 1831900 2161642 3088060 3860075 4323284 5404105 7720150 10808210 15440300 21616420 27020525 54041050 108082100