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105366067 = 533675417
BaseRepresentation
bin1100100011111…
…00001000110011
321100021011001221
412101330020303
5203433203232
614242205511
72416411462
oct621741063
9240234057
10105366067
11545270a4
122b353897
1318aa20b1
14ddca9d9
1593b4897
hex647c233

105366067 has 8 divisors (see below), whose sum is σ = 107666496. Its totient is φ = 103077312.

The previous prime is 105366043. The next prime is 105366071. The reversal of 105366067 is 760663501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105366067 is a prime.

It is a super-2 number, since 2×1053660672 = 22204016150096978, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105366007) 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 7 ways as a sum of consecutive naturals, for example, 16743 + ... + 22159.

It is an arithmetic number, because the mean of its divisors is an integer number (13458312).

Almost surely, 2105366067 is an apocalyptic number.

105366067 is a deficient number, since it is larger than the sum of its proper divisors (2300429).

105366067 is an equidigital number, since it uses as much as digits as its factorization.

105366067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 105366067 is about 10264.7974651232. The cubic root of 105366067 is about 472.3170135849.

The spelling of 105366067 in words is "one hundred five million, three hundred sixty-six thousand, sixty-seven".

Divisors: 1 53 367 5417 19451 287101 1988039 105366067