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10108000 = 25537192
BaseRepresentation
bin100110100011…
…110001100000
3201000112120101
4212203301200
510041424000
61000352144
7151626250
oct46436140
921015511
1010108000
115784321
123475654
13212ba86
1414b1960
15d49e6a
hex9a3c60

10108000 has 144 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 3283200.

The previous prime is 10107991. The next prime is 10108003. The reversal of 10108000 is 80101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108003) 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, 531991 + ... + 532009.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 210108000 is an apocalyptic number.

10108000 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 10108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

10108000 is an abundant number, since it is smaller than the sum of its proper divisors (19847744).

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

10108000 is an equidigital number, since it uses as much as digits as its factorization.

10108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 10108000 is about 3179.3081008295. The cubic root of 10108000 is about 216.2162899775.

Adding to 10108000 its reverse (80101), we get a palindrome (10188101).

The spelling of 10108000 in words is "ten million, one hundred eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 160 175 190 200 224 250 266 280 304 350 361 380 400 475 500 532 560 608 665 700 722 760 800 875 950 1000 1064 1120 1330 1400 1444 1520 1750 1805 1900 2000 2128 2375 2527 2660 2800 2888 3040 3325 3500 3610 3800 4000 4256 4750 5054 5320 5600 5776 6650 7000 7220 7600 9025 9500 10108 10640 11552 12635 13300 14000 14440 15200 16625 18050 19000 20216 21280 25270 26600 28000 28880 33250 36100 38000 40432 45125 50540 53200 57760 63175 66500 72200 76000 80864 90250 101080 106400 126350 133000 144400 180500 202160 252700 266000 288800 315875 361000 404320 505400 532000 631750 722000 1010800 1263500 1444000 2021600 2527000 5054000 10108000