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105258114 = 23213449821
BaseRepresentation
bin1100100011000…
…01110010000010
321100001122222200
412101201302002
5203421224424
614240014030
72415451653
oct621416202
9240048880
10105258114
1154462a85
122b301316
1318a64c10
14dd9d52a
1593928c9
hex6461c82

105258114 has 24 divisors (see below), whose sum is σ = 245602812. Its totient is φ = 32387040.

The previous prime is 105258073. The next prime is 105258121. The reversal of 105258114 is 411852501.

It can be written as a sum of positive squares in 2 ways, for example, as 84327489 + 20930625 = 9183^2 + 4575^2 .

It is a super-2 number, since 2×1052581142 = 22158541125673992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224677 + ... + 225144.

Almost surely, 2105258114 is an apocalyptic number.

105258114 is an abundant number, since it is smaller than the sum of its proper divisors (140344698).

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

105258114 is a wasteful number, since it uses less digits than its factorization.

105258114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449842 (or 449839 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 105258114 is about 10259.5377088834. The cubic root of 105258114 is about 472.1556540403.

The spelling of 105258114 in words is "one hundred five million, two hundred fifty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 449821 899642 1349463 2698926 4048389 5847673 8096778 11695346 17543019 35086038 52629057 105258114