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106000601 = 7192273511
BaseRepresentation
bin1100101000101…
…11000011011001
321101110101111012
412110113003121
5204114004401
614303543305
72424663440
oct624270331
9241411435
10106000601
115491a903
122b5bab35
1318c64b65
1410113d57
15948c8bb
hex65170d9

106000601 has 16 divisors (see below), whose sum is σ = 128117760. Its totient is φ = 85672080.

The previous prime is 106000589. The next prime is 106000603.

106000601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106000601 is a prime.

It is a super-2 number, since 2×1060006012 = 22472254824722402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28436 + ... + 31946.

It is an arithmetic number, because the mean of its divisors is an integer number (8007360).

Almost surely, 2106000601 is an apocalyptic number.

It is an amenable number.

106000601 is a deficient number, since it is larger than the sum of its proper divisors (22117159).

106000601 is a wasteful number, since it uses less digits than its factorization.

106000601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 106000601 is about 10295.6593280858. The cubic root of 106000601 is about 473.2632435507.

It can be divided in two parts, 106000 and 601, that added together give a palindrome (106601).

The spelling of 106000601 in words is "one hundred six million, six hundred one", and thus it is an aban number.

Divisors: 1 7 19 133 227 1589 3511 4313 24577 30191 66709 466963 796997 5578979 15142943 106000601