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106127593045 = 567731352317
BaseRepresentation
bin110001011010110110…
…0101000111001010101
3101010221012210022200021
41202311230220321111
53214322130434140
6120430534345141
710444640441155
oct1426554507125
9333835708607
10106127593045
1141010294491
1218699abb1b1
13a014160546
1451caba4765
152b62177b4a
hex18b5b28e55

106127593045 has 8 divisors (see below), whose sum is σ = 127541229624. Its totient is φ = 84776662464.

The previous prime is 106127593021. The next prime is 106127593049. The reversal of 106127593045 is 540395721601.

It can be written as a sum of positive squares in 4 ways, for example, as 67611960529 + 38515632516 = 260023^2 + 196254^2 .

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 106127593045 - 27 = 106127592917 is a prime.

It is a super-2 number, since 2×1061275930452 (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 = 106127592992 and 106127593010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106127593049) 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 7 ways as a sum of consecutive naturals, for example, 15672774 + ... + 15679543.

It is an arithmetic number, because the mean of its divisors is an integer number (15942653703).

Almost surely, 2106127593045 is an apocalyptic number.

It is an amenable number.

106127593045 is a deficient number, since it is larger than the sum of its proper divisors (21413636579).

106127593045 is an equidigital number, since it uses as much as digits as its factorization.

106127593045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31352999.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 106127593045 in words is "one hundred six billion, one hundred twenty-seven million, five hundred ninety-three thousand, forty-five".

Divisors: 1 5 677 3385 31352317 156761585 21225518609 106127593045