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106295587857 = 3211810620873
BaseRepresentation
bin110001011111110110…
…1011111010000010001
3101011100220220100020100
41202333231133100101
53220143132302412
6120455335203013
710452050406024
oct1427755372021
9334326810210
10106295587857
11410970a7478
1218726216469
13a03cbbcc64
1452052151bb
152b71cadedc
hex18bfb5f411

106295587857 has 6 divisors (see below), whose sum is σ = 153538071362. Its totient is φ = 70863725232.

The previous prime is 106295587841. The next prime is 106295587889. The reversal of 106295587857 is 758785592601.

106295587857 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 9 + 558 + 78 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70542828801 + 35752759056 = 265599^2 + 189084^2 .

It is not a de Polignac number, because 106295587857 - 24 = 106295587841 is a prime.

It is a super-2 number, since 2×1062955878572 (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 = 106295587794 and 106295587803.

It is not an unprimeable number, because it can be changed into a prime (106295587357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5905310428 + ... + 5905310445.

Almost surely, 2106295587857 is an apocalyptic number.

It is an amenable number.

106295587857 is a deficient number, since it is larger than the sum of its proper divisors (47242483505).

106295587857 is a wasteful number, since it uses less digits than its factorization.

106295587857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11810620879 (or 11810620876 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 63.

The spelling of 106295587857 in words is "one hundred six billion, two hundred ninety-five million, five hundred eighty-seven thousand, eight hundred fifty-seven".

Divisors: 1 3 9 11810620873 35431862619 106295587857