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107244300 = 22352597383
BaseRepresentation
bin1100110010001…
…10101100001100
321110210120112010
412121012230030
5204423304200
614350341220
72441363412
oct631065414
9243716463
10107244300
115559a259
122baba810
13192abc87
14103592b2
159636150
hex6646b0c

107244300 has 144 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 27394560.

The previous prime is 107244259. The next prime is 107244311. The reversal of 107244300 is 3442701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1292059 + ... + 1292141.

It is an arithmetic number, because the mean of its divisors is an integer number (2248120).

Almost surely, 2107244300 is an apocalyptic number.

107244300 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 107244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

107244300 is an abundant number, since it is smaller than the sum of its proper divisors (216484980).

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

107244300 is a wasteful number, since it uses less digits than its factorization.

107244300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 107244300 is about 10355.8823863541. The cubic root of 107244300 is about 475.1069749829.

The spelling of 107244300 in words is "one hundred seven million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 73 75 83 100 118 146 150 166 177 219 236 249 292 295 300 332 354 365 415 438 498 590 708 730 830 876 885 996 1095 1180 1245 1460 1475 1660 1770 1825 2075 2190 2490 2950 3540 3650 4150 4307 4380 4425 4897 4980 5475 5900 6059 6225 7300 8300 8614 8850 9794 10950 12118 12450 12921 14691 17228 17700 18177 19588 21535 21900 24236 24485 24900 25842 29382 30295 36354 43070 48970 51684 58764 60590 64605 72708 73455 86140 90885 97940 107675 121180 122425 129210 146910 151475 181770 215350 244850 258420 293820 302950 323025 357481 363540 367275 430700 454425 489700 605900 646050 714962 734550 908850 1072443 1292100 1429924 1469100 1787405 1817700 2144886 3574810 4289772 5362215 7149620 8937025 10724430 17874050 21448860 26811075 35748100 53622150 107244300