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105855064 = 2371890269
BaseRepresentation
bin1100100111100…
…11100001011000
321101011222211221
412103303201120
5204044330224
614300501424
72423516230
oct623634130
9241158757
10105855064
1154830527
122b54a874
1318c13843
14100b6cc0
15945e6e4
hex64f3858

105855064 has 16 divisors (see below), whose sum is σ = 226832400. Its totient is φ = 45366432.

The previous prime is 105855059. The next prime is 105855089. The reversal of 105855064 is 460558501.

It is a happy number.

It is a super-2 number, since 2×1058550642 = 22410589148888192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 945079 + ... + 945190.

It is an arithmetic number, because the mean of its divisors is an integer number (14177025).

Almost surely, 2105855064 is an apocalyptic number.

105855064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105855064 is an abundant number, since it is smaller than the sum of its proper divisors (120977336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105855064 is a wasteful number, since it uses less digits than its factorization.

105855064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890282 (or 1890278 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 105855064 is about 10288.5890189083. The cubic root of 105855064 is about 473.0465502536.

The spelling of 105855064 in words is "one hundred five million, eight hundred fifty-five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1890269 3780538 7561076 13231883 15122152 26463766 52927532 105855064