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106155616005 = 3252359013689
BaseRepresentation
bin110001011011101011…
…1100010011100000101
3101011000011112000221200
41202313113202130011
53214401314203010
6120433415133113
710445430563565
oct1426727423405
9334004460850
10106155616005
114102509455a
12186a7374199
13a019bc268a
1451d07bada5
152b64860cc0
hex18b75e2705

106155616005 has 12 divisors (see below), whose sum is σ = 184003067820. Its totient is φ = 56616328512.

The previous prime is 106155616001. The next prime is 106155616019. The reversal of 106155616005 is 500616551601.

It can be written as a sum of positive squares in 2 ways, for example, as 38988082116 + 67167533889 = 197454^2 + 259167^2 .

It is not a de Polignac number, because 106155616005 - 22 = 106155616001 is a prime.

It is a super-2 number, since 2×1061556160052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106155616001) 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 11 ways as a sum of consecutive naturals, for example, 1179506800 + ... + 1179506889.

It is an arithmetic number, because the mean of its divisors is an integer number (15333588985).

Almost surely, 2106155616005 is an apocalyptic number.

106155616005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106155616005 is a deficient number, since it is larger than the sum of its proper divisors (77847451815).

106155616005 is a wasteful number, since it uses less digits than its factorization.

106155616005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359013700 (or 2359013697 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106155616005 in words is "one hundred six billion, one hundred fifty-five million, six hundred sixteen thousand, five".

Divisors: 1 3 5 9 15 45 2359013689 7077041067 11795068445 21231123201 35385205335 106155616005