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106054545321 = 335379938129
BaseRepresentation
bin110001011000101010…
…1111110111110101001
3101010202010100010001000
41202301111332332221
53214144430422241
6120415404545213
710443062522064
oct1426125767651
9333663303030
10106054545321
1140a8303166a
1218679552209
13a001c9573a
1451c11cb8db
152b5aa48eb6
hex18b157efa9

106054545321 has 32 divisors (see below), whose sum is σ = 162108864000. Its totient is φ = 68490849024.

The previous prime is 106054545293. The next prime is 106054545329. The reversal of 106054545321 is 123545450601.

106054545321 is a `hidden beast` number, since 1 + 0 + 60 + 54 + 545 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 106054545321 - 213 = 106054537129 is a prime.

It is a super-3 number, since 3×1060545453213 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106054545329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356016 + ... + 582113.

It is an arithmetic number, because the mean of its divisors is an integer number (5065902000).

Almost surely, 2106054545321 is an apocalyptic number.

It is an amenable number.

106054545321 is a deficient number, since it is larger than the sum of its proper divisors (56054318679).

106054545321 is an equidigital number, since it uses as much as digits as its factorization.

106054545321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938270 (or 938264 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 106054545321 its reverse (123545450601), we get a palindrome (229599995922).

The spelling of 106054545321 in words is "one hundred six billion, fifty-four million, five hundred forty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 27 53 79 159 237 477 711 1431 2133 4187 12561 37683 113049 938129 2814387 8443161 25329483 49720837 74112191 149162511 222336573 447487533 667009719 1342462599 2001029157 3927946123 11783838369 35351515107 106054545321