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105034365 = 3252334097
BaseRepresentation
bin1100100001010…
…11001001111101
321022122022001200
412100223021331
5203342044430
614231130113
72413530432
oct620531175
9238568050
10105034365
115431a967
122b213939
13189b7117
14dd41b89
15934b460
hex642b27d

105034365 has 12 divisors (see below), whose sum is σ = 182059644. Its totient is φ = 56018304.

The previous prime is 105034361. The next prime is 105034373. The reversal of 105034365 is 563430501.

It can be written as a sum of positive squares in 2 ways, for example, as 28611801 + 76422564 = 5349^2 + 8742^2 .

It is not a de Polignac number, because 105034365 - 22 = 105034361 is a prime.

It is a super-2 number, since 2×1050343652 = 22064435661906450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167004 + ... + 1167093.

It is an arithmetic number, because the mean of its divisors is an integer number (15171637).

Almost surely, 2105034365 is an apocalyptic number.

105034365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105034365 is a deficient number, since it is larger than the sum of its proper divisors (77025279).

105034365 is a wasteful number, since it uses less digits than its factorization.

105034365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334108 (or 2334105 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105034365 is about 10248.6274690809. The cubic root of 105034365 is about 471.8208602126.

Adding to 105034365 its reverse (563430501), we get a palindrome (668464866).

The spelling of 105034365 in words is "one hundred five million, thirty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 2334097 7002291 11670485 21006873 35011455 105034365