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105540675661 = 414216114401
BaseRepresentation
bin110001001001010110…
…1101110100001001101
3101002102022101211101101
41202102231232201031
53212121403110121
6120252410543101
710424252640601
oct1422255564115
9332368354341
10105540675661
1140839a617a3
1218555437a91
139c4c695655
145172c65501
152b2a891491
hex1892b6e84d

105540675661 has 8 divisors (see below), whose sum is σ = 108371661048. Its totient is φ = 102721920000.

The previous prime is 105540675607. The next prime is 105540675689. The reversal of 105540675661 is 166576045501.

It can be written as a sum of positive squares in 4 ways, for example, as 33292900 + 105507382761 = 5770^2 + 324819^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105540675661 is a prime.

It is a super-2 number, since 2×1055406756612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105540670661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3039940 + ... + 3074461.

It is an arithmetic number, because the mean of its divisors is an integer number (13546457631).

Almost surely, 2105540675661 is an apocalyptic number.

It is an amenable number.

105540675661 is a deficient number, since it is larger than the sum of its proper divisors (2830985387).

105540675661 is an equidigital number, since it uses as much as digits as its factorization.

105540675661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114863.

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 105540675661 in words is "one hundred five billion, five hundred forty million, six hundred seventy-five thousand, six hundred sixty-one".

Divisors: 1 41 421 17261 6114401 250690441 2574162821 105540675661