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106020131560 = 2357478056241
BaseRepresentation
bin110001010111101001…
…0101101001011101000
3101010122201120201020021
41202233102231023220
53214112123202220
6120412135210224
710442164151320
oct1425722551350
9333581521207
10106020131560
1140a65667042
1218669b16974
139cc7b06775
1451ba7d0280
152b579ec4aa
hex18af4ad2e8

106020131560 has 64 divisors (see below), whose sum is σ = 278423723520. Its totient is φ = 35576355840.

The previous prime is 106020131549. The next prime is 106020131561. The reversal of 106020131560 is 65131020601.

It is a super-2 number, since 2×1060201315602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106020131561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014961 + ... + 4041280.

It is an arithmetic number, because the mean of its divisors is an integer number (4350370680).

Almost surely, 2106020131560 is an apocalyptic number.

106020131560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106020131560 is an abundant number, since it is smaller than the sum of its proper divisors (172403591960).

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

106020131560 is a wasteful number, since it uses less digits than its factorization.

106020131560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056306 (or 8056302 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 106020131560 in words is "one hundred six billion, twenty million, one hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 8056241 16112482 32224964 40281205 56393687 64449928 80562410 112787374 161124820 225574748 281968435 322249640 378643327 451149496 563936870 757286654 1127873740 1514573308 1893216635 2255747480 2650503289 3029146616 3786433270 5301006578 7572866540 10602013156 13252516445 15145733080 21204026312 26505032890 53010065780 106020131560