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105738189 = 3227155269
BaseRepresentation
bin1100100110101…
…10111111001101
321100222001112020
412103112333031
5204032110224
614254200353
72422521414
oct623267715
9240861466
10105738189
1154760737
122b4b30b9
1318ba259b
141008647b
159439c79
hex64d6fcd

105738189 has 8 divisors (see below), whose sum is σ = 141606240. Its totient is φ = 70181136.

The previous prime is 105738169. The next prime is 105738197. The reversal of 105738189 is 981837501.

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

It is not a de Polignac number, because 105738189 - 29 = 105737677 is a prime.

It is a super-2 number, since 2×1057381892 = 22361129225999442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 105738189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105738169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76954 + ... + 78315.

It is an arithmetic number, because the mean of its divisors is an integer number (17700780).

Almost surely, 2105738189 is an apocalyptic number.

It is an amenable number.

105738189 is a deficient number, since it is larger than the sum of its proper divisors (35868051).

105738189 is a wasteful number, since it uses less digits than its factorization.

105738189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155499.

The product of its (nonzero) digits is 60480, while the sum is 42.

The square root of 105738189 is about 10282.9076140944. The cubic root of 105738189 is about 472.8723886102.

The spelling of 105738189 in words is "one hundred five million, seven hundred thirty-eight thousand, one hundred eighty-nine".

Divisors: 1 3 227 681 155269 465807 35246063 105738189