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106194549561 = 3193173823271
BaseRepresentation
bin110001011100110110…
…0000011101100111001
3101011002212210001202020
41202321230003230321
53214441301041221
6120441325425053
710446412530522
oct1427154035471
9334085701666
10106194549561
1141045066951
12186b840b189
13a024ca4999
1451d5a33849
152b67ea1ac6
hex18b9b03b39

106194549561 has 32 divisors (see below), whose sum is σ = 155960647680. Its totient is φ = 64017475200.

The previous prime is 106194549529. The next prime is 106194549563. The reversal of 106194549561 is 165945491601.

It is a happy number.

It is not a de Polignac number, because 106194549561 - 25 = 106194549529 is a prime.

It is a super-4 number, since 4×1061945495614 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106194549563) 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 31 ways as a sum of consecutive naturals, for example, 282645 + ... + 540626.

It is an arithmetic number, because the mean of its divisors is an integer number (4873770240).

Almost surely, 2106194549561 is an apocalyptic number.

It is an amenable number.

106194549561 is a deficient number, since it is larger than the sum of its proper divisors (49766098119).

106194549561 is a wasteful number, since it uses less digits than its factorization.

106194549561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823397.

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 106194549561 in words is "one hundred six billion, one hundred ninety-four million, five hundred forty-nine thousand, five hundred sixty-one".

Divisors: 1 3 19 31 57 73 93 219 589 1387 1767 2263 4161 6789 42997 128991 823271 2469813 15642149 25521401 46926447 60098783 76564203 180296349 484906619 1141876877 1454719857 1863062273 3425630631 5589186819 35398183187 106194549561