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105999066606 = 23372267210619
BaseRepresentation
bin110001010111000001…
…0010110010111101110
3101010121020221111112210
41202232002112113232
53214041230112411
6120410103511250
710441520125416
oct1425602262756
9333536844483
10105999066606
1140a54789694
1218662a58526
139cc363c6b4
1451b7aa9646
152b55c3aca6
hex18ae0965ee

105999066606 has 32 divisors (see below), whose sum is σ = 217824888960. Its totient is φ = 34362747936.

The previous prime is 105999066601. The next prime is 105999066619. The reversal of 105999066606 is 606660999501.

It is a super-2 number, since 2×1059990666062 (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 (105999066601) 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, 397965 + ... + 608583.

It is an arithmetic number, because the mean of its divisors is an integer number (6807027780).

Almost surely, 2105999066606 is an apocalyptic number.

105999066606 is an abundant number, since it is smaller than the sum of its proper divisors (111825822354).

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

105999066606 is a wasteful number, since it uses less digits than its factorization.

105999066606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212928.

The product of its (nonzero) digits is 4723920, while the sum is 57.

The spelling of 105999066606 in words is "one hundred five billion, nine hundred ninety-nine million, sixty-six thousand, six hundred six".

Divisors: 1 2 3 6 37 74 111 222 2267 4534 6801 13602 83879 167758 210619 251637 421238 503274 631857 1263714 7792903 15585806 23378709 46757418 477473273 954946546 1432419819 2864839638 17666511101 35333022202 52999533303 105999066606