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105309289 = 3773127307
BaseRepresentation
bin1100100011011…
…10010001101001
321100011021012001
412101232101221
5203424344124
614241051001
72416054111
oct621562151
9240137161
10105309289
1154498478
122b326a61
1318a822b7
14ddb4041
1593a2b44
hex646e469

105309289 has 16 divisors (see below), whose sum is σ = 110860288. Its totient is φ = 99937152.

The previous prime is 105309233. The next prime is 105309299. The reversal of 105309289 is 982903501.

It is a 3-Lehmer number, since φ(105309289) divides (105309289-1)3.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2k-105309289 is a prime.

It is a super-2 number, since 2×1053092892 = 22180092699371042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R105309288.

It is not an unprimeable number, because it can be changed into a prime (105309299) 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 15 ways as a sum of consecutive naturals, for example, 342874 + ... + 343180.

It is an arithmetic number, because the mean of its divisors is an integer number (6928768).

It is a Poulet number, since it divides 2105309288-1.

Almost surely, 2105309289 is an apocalyptic number.

It is an amenable number.

105309289 is a deficient number, since it is larger than the sum of its proper divisors (5550999).

105309289 is a wasteful number, since it uses less digits than its factorization.

105309289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 105309289 is about 10262.0314265744. The cubic root of 105309289 is about 472.2321601005.

The spelling of 105309289 in words is "one hundred five million, three hundred nine thousand, two hundred eighty-nine".

Divisors: 1 37 73 127 307 2701 4699 9271 11359 22411 38989 343027 829207 1442593 2846197 105309289