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106000221075 = 3527379353231
BaseRepresentation
bin110001010111000011…
…0110000001110010011
3101010121100010011011220
41202232012300032103
53214042024033300
6120410144340123
710441533004260
oct1425606601623
9333540104156
10106000221075
1140a553a7aa1
1218663314643
139cc3955008
1451b7cca267
152b55db7da0
hex18ae1b0393

106000221075 has 48 divisors (see below), whose sum is σ = 200346510336. Its totient is φ = 48443558400.

The previous prime is 106000221071. The next prime is 106000221077. The reversal of 106000221075 is 570122000601.

It is not a de Polignac number, because 106000221075 - 22 = 106000221071 is a prime.

It is a super-2 number, since 2×1060002210752 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000221071) 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 47 ways as a sum of consecutive naturals, for example, 1964710 + ... + 2017940.

It is an arithmetic number, because the mean of its divisors is an integer number (4173885632).

Almost surely, 2106000221075 is an apocalyptic number.

106000221075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106000221075 is a deficient number, since it is larger than the sum of its proper divisors (94346289261).

106000221075 is a wasteful number, since it uses less digits than its factorization.

106000221075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57044 (or 57039 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 106000221075 its reverse (570122000601), we get a palindrome (676122221676).

The spelling of 106000221075 in words is "one hundred six billion, two hundred twenty-one thousand, seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 3793 11379 18965 26551 53231 56895 79653 94825 132755 159693 266155 284475 372617 398265 663775 798465 1117851 1330775 1863085 1991325 3992325 5589255 9315425 27946275 201905183 605715549 1009525915 1413336281 3028577745 4240008843 5047629575 7066681405 15142888725 21200044215 35333407025 106000221075