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106307055697 = 413121830777
BaseRepresentation
bin110001100000001100…
…1001111000001010001
3101011101201110222011011
41203000121033001101
53220204101240242
6120500425050521
710452250030663
oct1430031170121
9334351428134
10106307055697
11410a261a427
121872a026a41
13a0423a696b
14520695c533
152b72cc6d17
hex18c064f051

106307055697 has 8 divisors (see below), whose sum is σ = 108934934472. Its totient is φ = 103680844800.

The previous prime is 106307055683. The next prime is 106307055713. The reversal of 106307055697 is 796550703601.

It can be written as a sum of positive squares in 4 ways, for example, as 12543104016 + 93763951681 = 111996^2 + 306209^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 106307055697 - 215 = 106307022929 is a prime.

It is a super-3 number, since 3×1063070556973 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106307055697.

It is not an unprimeable number, because it can be changed into a prime (106307055397) 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, 287428 + ... + 543349.

It is an arithmetic number, because the mean of its divisors is an integer number (13616866809).

Almost surely, 2106307055697 is an apocalyptic number.

It is an amenable number.

106307055697 is a deficient number, since it is larger than the sum of its proper divisors (2627878775).

106307055697 is an equidigital number, since it uses as much as digits as its factorization.

106307055697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833939.

The product of its (nonzero) digits is 1190700, while the sum is 49.

The spelling of 106307055697 in words is "one hundred six billion, three hundred seven million, fifty-five thousand, six hundred ninety-seven".

Divisors: 1 41 3121 127961 830777 34061857 2592855017 106307055697