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105000108 = 22314476047
BaseRepresentation
bin1100100001000…
…10110010101100
321022120120001220
412100202302230
5203340000413
614230303340
72413325523
oct620426254
9238516056
10105000108
11542a7154
122b1b7b50
13189a4655
14dd334ba
159341223
hex6422cac

105000108 has 24 divisors (see below), whose sum is σ = 245210112. Its totient is φ = 34970064.

The previous prime is 105000107. The next prime is 105000121. The reversal of 105000108 is 801000501.

It is a happy number.

It is a super-2 number, since 2×1050001082 = 22050045360023328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14341 + ... + 20387.

It is an arithmetic number, because the mean of its divisors is an integer number (10217088).

Almost surely, 2105000108 is an apocalyptic number.

It is an amenable number.

105000108 is an abundant number, since it is smaller than the sum of its proper divisors (140210004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105000108 is a wasteful number, since it uses less digits than its factorization.

105000108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105000108 is about 10246.9560358186. The cubic root of 105000108 is about 471.7695597811.

Adding to 105000108 its reverse (801000501), we get a palindrome (906000609).

The spelling of 105000108 in words is "one hundred five million, one hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 1447 2894 4341 5788 6047 8682 12094 17364 18141 24188 36282 72564 8750009 17500018 26250027 35000036 52500054 105000108