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106885840357 = 2953409170029
BaseRepresentation
bin110001110001011100…
…1000111110111100101
3101012220001120021110001
41203202321013313211
53222400233342412
6121034102301301
710502505436552
oct1434271076745
9335801507401
10106885840357
114136a2a795a
121886ba27831
13a105284baa
14525d781a29
152ba8a03957
hex18e2e47de5

106885840357 has 16 divisors (see below), whose sum is σ = 112933926000. Its totient is φ = 101004793344.

The previous prime is 106885840343. The next prime is 106885840361. The reversal of 106885840357 is 753048588601.

It is a Cunningham number, because it is equal to 3269342+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 106885840356 = 1^2 + 326934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106885840357 is a prime.

It is a super-2 number, since 2×1068858403572 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106885840298 and 106885840307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106885840337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543619 + ... + 713647.

It is an arithmetic number, because the mean of its divisors is an integer number (7058370375).

Almost surely, 2106885840357 is an apocalyptic number.

It is an amenable number.

106885840357 is a deficient number, since it is larger than the sum of its proper divisors (6048085643).

106885840357 is a wasteful number, since it uses less digits than its factorization.

106885840357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170520.

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 106885840357 in words is "one hundred six billion, eight hundred eighty-five million, eight hundred forty thousand, three hundred fifty-seven".

Divisors: 1 29 53 409 1537 11861 21677 170029 628633 4930841 9011537 69541861 261334573 2016713969 3685718633 106885840357