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104950300 = 225271319607
BaseRepresentation
bin1100100000101…
…10101000011100
321022111000202011
412100112220130
5203331402200
614225241004
72413030360
oct620265034
9238430664
10104950300
1154272794
122b193164
1318987a90
14dd1d2a0
1593315ba
hex6416a1c

104950300 has 144 divisors (see below), whose sum is σ = 295536640. Its totient is φ = 31415040.

The previous prime is 104950297. The next prime is 104950301. The reversal of 104950300 is 3059401.

It is a super-2 number, since 2×1049503002 = 22029130940180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104950301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172597 + ... + 173203.

Almost surely, 2104950300 is an apocalyptic number.

104950300 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 104950300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147768320).

104950300 is an abundant number, since it is smaller than the sum of its proper divisors (190586340).

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

104950300 is a wasteful number, since it uses less digits than its factorization.

104950300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 104950300 is about 10244.5253672388. The cubic root of 104950300 is about 471.6949515572.

The spelling of 104950300 in words is "one hundred four million, nine hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 35 38 50 52 65 70 76 91 95 100 130 133 140 175 182 190 247 260 266 325 350 364 380 455 475 494 532 607 650 665 700 910 950 988 1214 1235 1300 1330 1729 1820 1900 2275 2428 2470 2660 3035 3325 3458 4249 4550 4940 6070 6175 6650 6916 7891 8498 8645 9100 11533 12140 12350 13300 15175 15782 16996 17290 21245 23066 24700 30350 31564 34580 39455 42490 43225 46132 55237 57665 60700 78910 80731 84980 86450 106225 110474 115330 149929 157820 161462 172900 197275 212450 220948 230660 276185 288325 299858 322924 394550 403655 424900 552370 576650 599716 749645 789100 807310 1049503 1104740 1153300 1380925 1499290 1614620 2018275 2099006 2761850 2998580 3748225 4036550 4198012 5247515 5523700 7496450 8073100 10495030 14992900 20990060 26237575 52475150 104950300