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106000055106 = 231129131422759
BaseRepresentation
bin110001010111000011…
…0000111101101000010
3101010121022210201111220
41202232012013231002
53214042003230411
6120410141015510
710441531413351
oct1425606075502
9333538721456
10106000055106
1140a552a4330
1218663254596
139cc38c75ca
1451b7c85998
152b55d83b06
hex18ae187b42

106000055106 has 64 divisors (see below), whose sum is σ = 241074662400. Its totient is φ = 30776782400.

The previous prime is 106000055089. The next prime is 106000055107. The reversal of 106000055106 is 601550000601.

It is a super-2 number, since 2×1060000551062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000055107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39355 + ... + 462113.

It is an arithmetic number, because the mean of its divisors is an integer number (3766791600).

Almost surely, 2106000055106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106000055106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120537331200).

106000055106 is an abundant number, since it is smaller than the sum of its proper divisors (135074607294).

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

106000055106 is a wasteful number, since it uses less digits than its factorization.

106000055106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422935.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 106000055106 its reverse (601550000601), we get a palindrome (707550055707).

The spelling of 106000055106 in words is "one hundred six billion, fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 131 174 262 319 393 638 786 957 1441 1914 2882 3799 4323 7598 8646 11397 22794 41789 83578 125367 250734 422759 845518 1268277 2536554 4650349 9300698 12260011 13951047 24520022 27902094 36780033 55381429 73560066 110762858 134860121 166144287 269720242 332288574 404580363 609195719 809160726 1218391438 1606061441 1827587157 3212122882 3655174314 4818184323 9636368646 17666675851 35333351702 53000027553 106000055106