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106235655446105 = 5235930011521723
BaseRepresentation
bin11000001001111011101010…
…100000010101111001011001
3111221011000210111011002122022
4120021323222200111321121
5102411031110243233410
61013535553015504225
731243162401662363
oct3011735240257131
9457130714132568
10106235655446105
1130939319a3a159
12bab9222088075
134737c967586c3
141c33b94289d33
15c4367707d455
hex609eea815e59

106235655446105 has 32 divisors (see below), whose sum is σ = 135284953144320. Its totient is φ = 79912701330880.

The previous prime is 106235655446093. The next prime is 106235655446117. The reversal of 106235655446105 is 501644556532601.

It is an interprime number because it is at equal distance from previous prime (106235655446093) and next prime (106235655446117).

It is not a de Polignac number, because 106235655446105 - 212 = 106235655442009 is a prime.

It is a super-2 number, since 2×1062356554461052 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203363774 + ... + 203885496.

It is an arithmetic number, because the mean of its divisors is an integer number (4227654785760).

Almost surely, 2106235655446105 is an apocalyptic number.

It is an amenable number.

106235655446105 is a deficient number, since it is larger than the sum of its proper divisors (29049297698215).

106235655446105 is a wasteful number, since it uses less digits than its factorization.

106235655446105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551821.

The product of its (nonzero) digits is 12960000, while the sum is 53.

The spelling of 106235655446105 in words is "one hundred six trillion, two hundred thirty-five billion, six hundred fifty-five million, four hundred forty-six thousand, one hundred five".

Divisors: 1 5 23 59 115 295 1357 6785 30011 150055 521723 690253 1770649 2608615 3451265 8853245 11999629 30781657 40724927 59998145 153908285 203624635 707978111 3539890555 15657428953 78287144765 360120865919 923788308227 1800604329595 4618941541135 21247131089221 106235655446105