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106010016156 = 223211224336551
BaseRepresentation
bin110001010111010110…
…0000111100110011100
3101010122000112210111200
41202232230013212130
53214102031004111
6120411134315500
710442012161332
oct1425654074634
9333560483450
10106010016156
1140a5a988200
1218666658b90
139cc59a4515
1451b9319b52
152b56ba0256
hex18aeb0799c

106010016156 has 54 divisors (see below), whose sum is σ = 294545288856. Its totient is φ = 32124246000.

The previous prime is 106010016121. The next prime is 106010016263. The reversal of 106010016156 is 651610010601.

106010016156 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 0 + 1 + 6 + 1 + 56 = 666.

It is a super-2 number, since 2×1060100161562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 12163920 + ... + 12172631.

Almost surely, 2106010016156 is an apocalyptic number.

It is an amenable number.

106010016156 is an abundant number, since it is smaller than the sum of its proper divisors (188535272700).

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

106010016156 is a wasteful number, since it uses less digits than its factorization.

106010016156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24336583 (or 24336567 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 106010016156 its reverse (651610010601), we get a palindrome (757620026757).

The spelling of 106010016156 in words is "one hundred six billion, ten million, sixteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 24336551 48673102 73009653 97346204 146019306 219028959 267702061 292038612 438057918 535404122 803106183 876115836 1070808244 1606212366 2409318549 2944722671 3212424732 4818637098 5889445342 8834168013 9637274196 11778890684 17668336026 26502504039 35336672052 53005008078 106010016156