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105057689 = 1137258127
BaseRepresentation
bin1100100001100…
…00110110011001
321022200111001112
412100300312121
5203343321224
614231430105
72413655432
oct620606631
9238614045
10105057689
1154336440
122b225335
13189c4919
14dd4a489
15935330e
hex6430d99

105057689 has 8 divisors (see below), whose sum is σ = 117706368. Its totient is φ = 92925360.

The previous prime is 105057683. The next prime is 105057709. The reversal of 105057689 is 986750501.

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

It is not a de Polignac number, because 105057689 - 212 = 105053593 is a prime.

It is a super-2 number, since 2×1050576892 = 22074236036041442, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105057683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128657 + ... + 129470.

It is an arithmetic number, because the mean of its divisors is an integer number (14713296).

Almost surely, 2105057689 is an apocalyptic number.

It is an amenable number.

105057689 is a deficient number, since it is larger than the sum of its proper divisors (12648679).

105057689 is a wasteful number, since it uses less digits than its factorization.

105057689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258175.

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 105057689 is about 10249.7653143865. The cubic root of 105057689 is about 471.8557819111.

The spelling of 105057689 in words is "one hundred five million, fifty-seven thousand, six hundred eighty-nine".

Divisors: 1 11 37 407 258127 2839397 9550699 105057689