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105120512 = 28758661
BaseRepresentation
bin1100100010000…
…00001100000000
321022210200020022
412101000030000
5203402324022
614233033012
72414336540
oct621001400
9238720208
10105120512
1154379662
122b255768
1318a173b3
14dd65320
159366c42
hex6440300

105120512 has 36 divisors (see below), whose sum is σ = 239810256. Its totient is φ = 45050880.

The previous prime is 105120487. The next prime is 105120523. The reversal of 105120512 is 215021501.

It is a super-2 number, since 2×1051205122 = 22100644086284288, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27539 + ... + 31122.

It is an arithmetic number, because the mean of its divisors is an integer number (6661396).

Almost surely, 2105120512 is an apocalyptic number.

It is an amenable number.

105120512 is an abundant number, since it is smaller than the sum of its proper divisors (134689744).

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

105120512 is an frugal number, since it uses more digits than its factorization.

105120512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58684 (or 58670 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105120512 is about 10252.8294631287. The cubic root of 105120512 is about 471.9498175127.

The spelling of 105120512 in words is "one hundred five million, one hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 58661 117322 234644 410627 469288 821254 938576 1642508 1877152 3285016 3754304 6570032 7508608 13140064 15017216 26280128 52560256 105120512