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107271150 = 23527192283
BaseRepresentation
bin1100110010011…
…01001111101110
321110211221100120
412121031033232
5204430134100
614351105410
72441534610
oct631151756
9243757316
10107271150
1155608448
122bb12266
13192bb26c
1410364db0
15963e0a0
hex664d3ee

107271150 has 144 divisors (see below), whose sum is σ = 322015104. Its totient is φ = 23146560.

The previous prime is 107271133. The next prime is 107271163. The reversal of 107271150 is 51172701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 107271150.

It is a congruent 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, 378909 + ... + 379191.

It is an arithmetic number, because the mean of its divisors is an integer number (2236216).

Almost surely, 2107271150 is an apocalyptic number.

107271150 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 107271150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161007552).

107271150 is an abundant number, since it is smaller than the sum of its proper divisors (214743954).

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

107271150 is a wasteful number, since it uses less digits than its factorization.

107271150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 107271150 is about 10357.1786698888. The cubic root of 107271150 is about 475.1466214034.

The spelling of 107271150 in words is "one hundred seven million, two hundred seventy-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 133 150 175 190 210 266 283 285 350 361 399 475 525 566 570 665 722 798 849 950 1050 1083 1330 1415 1425 1698 1805 1981 1995 2166 2527 2830 2850 3325 3610 3962 3990 4245 5054 5377 5415 5943 6650 7075 7581 8490 9025 9905 9975 10754 10830 11886 12635 14150 15162 16131 18050 19810 19950 21225 25270 26885 27075 29715 32262 37639 37905 42450 49525 53770 54150 59430 63175 75278 75810 80655 99050 102163 112917 126350 134425 148575 161310 188195 189525 204326 225834 268850 297150 306489 376390 379050 403275 510815 564585 612978 715141 806550 940975 1021630 1129170 1430282 1532445 1881950 2145423 2554075 2822925 3064890 3575705 4290846 5108150 5645850 7151410 7662225 10727115 15324450 17878525 21454230 35757050 53635575 107271150