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103104450 = 232521931389
BaseRepresentation
bin1100010010100…
…11111111000010
321012000020201100
412021103333002
5202343320300
614121515230
72361242031
oct611237702
9235006640
10103104450
1153221999
122a642b16
131848c867
14d99c718
1590b9700
hex6253fc2

103104450 has 144 divisors (see below), whose sum is σ = 301766400. Its totient is φ = 25142400.

The previous prime is 103104433. The next prime is 103104479. The reversal of 103104450 is 54401301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264856 + ... + 265244.

It is an arithmetic number, because the mean of its divisors is an integer number (2095600).

Almost surely, 2103104450 is an apocalyptic number.

103104450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103104450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150883200).

103104450 is an abundant number, since it is smaller than the sum of its proper divisors (198661950).

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

103104450 is a wasteful number, since it uses less digits than its factorization.

103104450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103104450 is about 10154.0361433274. The cubic root of 103104450 is about 468.9132124983.

Adding to 103104450 its reverse (54401301), we get a palindrome (157505751).

The spelling of 103104450 in words is "one hundred three million, one hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 31 38 45 50 57 62 75 90 93 95 114 150 155 171 186 190 225 279 285 310 342 389 450 465 475 558 570 589 775 778 855 930 950 1167 1178 1395 1425 1550 1710 1767 1945 2325 2334 2790 2850 2945 3501 3534 3890 4275 4650 5301 5835 5890 6975 7002 7391 8550 8835 9725 10602 11670 12059 13950 14725 14782 17505 17670 19450 22173 24118 26505 29175 29450 35010 36177 36955 44175 44346 53010 58350 60295 66519 72354 73910 87525 88350 108531 110865 120590 132525 133038 175050 180885 184775 217062 221730 229121 265050 301475 332595 361770 369550 458242 542655 554325 602950 665190 687363 904425 1085310 1108650 1145605 1374726 1662975 1808850 2062089 2291210 2713275 3325950 3436815 4124178 5426550 5728025 6873630 10310445 11456050 17184075 20620890 34368150 51552225 103104450