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105428589 = 3741122449
BaseRepresentation
bin1100100100010…
…11011001101101
321100101022211120
412102023121231
5203442203324
614243411153
72420061660
oct622133155
9240338746
10105428589
115456a072
122b383ab9
1318ac46a6
14100056d7
1593c8179
hex648b66d

105428589 has 16 divisors (see below), whose sum is σ = 164572800. Its totient is φ = 58775040.

The previous prime is 105428579. The next prime is 105428627. The reversal of 105428589 is 985824501.

It is a happy number.

It is not a de Polignac number, because 105428589 - 27 = 105428461 is a prime.

It is a super-2 number, since 2×1054285892 = 22230374757061842, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105428589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105428569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60364 + ... + 62085.

It is an arithmetic number, because the mean of its divisors is an integer number (10285800).

Almost surely, 2105428589 is an apocalyptic number.

It is an amenable number.

105428589 is a deficient number, since it is larger than the sum of its proper divisors (59144211).

105428589 is a wasteful number, since it uses less digits than its factorization.

105428589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122500.

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 105428589 is about 10267.8424705485. The cubic root of 105428589 is about 472.4104160949.

The spelling of 105428589 in words is "one hundred five million, four hundred twenty-eight thousand, five hundred eighty-nine".

Divisors: 1 3 7 21 41 123 287 861 122449 367347 857143 2571429 5020409 15061227 35142863 105428589