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106851060 = 2232519157199
BaseRepresentation
bin1100101111001…
…10101011110100
321110001121002200
412113212223310
5204323213220
614334104500
72435135061
oct627465364
9243047080
10106851060
1155350868
122b94b130
13191a1ca4
1410295c68
1595a9890
hex65e6af4

106851060 has 144 divisors (see below), whose sum is σ = 345072000. Its totient is φ = 26687232.

The previous prime is 106851053. The next prime is 106851061. The reversal of 106851060 is 60158601.

It is a super-2 number, since 2×1068510602 = 22834298046247200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106851061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536841 + ... + 537039.

Almost surely, 2106851060 is an apocalyptic number.

106851060 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 106851060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172536000).

106851060 is an abundant number, since it is smaller than the sum of its proper divisors (238220940).

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

106851060 is a wasteful number, since it uses less digits than its factorization.

106851060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106851060 is about 10336.8786391251. The cubic root of 106851060 is about 474.5255613676.

The spelling of 106851060 in words is "one hundred six million, eight hundred fifty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 157 171 180 190 199 228 285 314 342 380 398 471 570 597 628 684 785 796 855 942 995 1140 1194 1413 1570 1710 1791 1884 1990 2355 2388 2826 2983 2985 3140 3420 3582 3781 3980 4710 5652 5966 5970 7065 7164 7562 8949 8955 9420 11343 11932 11940 14130 14915 15124 17898 17910 18905 22686 26847 28260 29830 31243 34029 35796 35820 37810 44745 45372 53694 56715 59660 62486 68058 75620 89490 93729 107388 113430 124972 134235 136116 156215 170145 178980 187458 226860 268470 281187 312430 340290 374916 468645 536940 562374 593617 624860 680580 937290 1124748 1187234 1405935 1780851 1874580 2374468 2811870 2968085 3561702 5342553 5623740 5936170 7123404 8904255 10685106 11872340 17808510 21370212 26712765 35617020 53425530 106851060