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105402105 = 3252342269
BaseRepresentation
bin1100100100001…
…00111011111001
321100022222111200
412102010323321
5203440331410
614243044413
72416621524
oct622047371
9240288450
10105402105
1154551186
122b370709
1318ab5613
14ddd9bbb
1593c03c0
hex6484ef9

105402105 has 12 divisors (see below), whose sum is σ = 182697060. Its totient is φ = 56214432.

The previous prime is 105402071. The next prime is 105402109. The reversal of 105402105 is 501204501.

It can be written as a sum of positive squares in 2 ways, for example, as 82246761 + 23155344 = 9069^2 + 4812^2 .

It is not a de Polignac number, because 105402105 - 222 = 101207801 is a prime.

It is a super-2 number, since 2×1054021052 = 22219207476862050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105402109) 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, 1171090 + ... + 1171179.

It is an arithmetic number, because the mean of its divisors is an integer number (15224755).

Almost surely, 2105402105 is an apocalyptic number.

105402105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105402105 is a deficient number, since it is larger than the sum of its proper divisors (77294955).

105402105 is a wasteful number, since it uses less digits than its factorization.

105402105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342280 (or 2342277 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105402105 is about 10266.5527320518. The cubic root of 105402105 is about 472.3708557779.

Adding to 105402105 its reverse (501204501), we get a palindrome (606606606).

The spelling of 105402105 in words is "one hundred five million, four hundred two thousand, one hundred five".

Divisors: 1 3 5 9 15 45 2342269 7026807 11711345 21080421 35134035 105402105