Search a number
-
+
106547303100 = 22352761831751
BaseRepresentation
bin110001100111010110…
…1101101001010111100
3101012000110112210122010
41203032231231022330
53221202102144400
6120540330251220
710461225063510
oct1431655551274
9335013483563
10106547303100
11412061a18a7
1218796586b10
13a0800b32a4
14522a81a140
152b88e31450
hex18ceb6d2bc

106547303100 has 144 divisors (see below), whose sum is σ = 358092525056. Its totient is φ = 23954400000.

The previous prime is 106547303099. The next prime is 106547303119. The reversal of 106547303100 is 1303745601.

It is a super-2 number, since 2×1065473031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 287776 + ... + 543975.

Almost surely, 2106547303100 is an apocalyptic number.

106547303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106547303100 is an abundant number, since it is smaller than the sum of its proper divisors (251545221956).

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

106547303100 is a wasteful number, since it uses less digits than its factorization.

106547303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831836 (or 831829 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 106547303100 in words is "one hundred six billion, five hundred forty-seven million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 61 70 75 84 100 105 122 140 150 175 183 210 244 300 305 350 366 420 427 525 610 700 732 854 915 1050 1220 1281 1525 1708 1830 2100 2135 2562 3050 3660 4270 4575 5124 6100 6405 8540 9150 10675 12810 18300 21350 25620 32025 42700 64050 128100 831751 1663502 2495253 3327004 4158755 4990506 5822257 8317510 9981012 11644514 12476265 16635020 17466771 20793775 23289028 24952530 29111285 34933542 41587550 49905060 50736811 58222570 62381325 69867084 83175100 87333855 101473622 116445140 124762650 145556425 152210433 174667710 202947244 249525300 253684055 291112850 304420866 349335420 355157677 436669275 507368110 582225700 608841732 710315354 761052165 873338550 1014736220 1065473031 1268420275 1420630708 1522104330 1746677100 1775788385 2130946062 2536840550 3044208660 3551576770 3805260825 4261892124 5073681100 5327365155 7103153540 7610521650 8878941925 10654730310 15221043300 17757883850 21309460620 26636825775 35515767700 53273651550 106547303100