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105114656 = 253284833
BaseRepresentation
bin1100100001111…
…10110000100000
321022210101012102
412100332300200
5203402132111
614232545532
72414313503
oct620766040
9238711172
10105114656
1154375219
122b2522a8
1318a1482a
14dd6313a
15936513b
hex643ec20

105114656 has 12 divisors (see below), whose sum is σ = 206944542. Its totient is φ = 52557312.

The previous prime is 105114649. The next prime is 105114673. The reversal of 105114656 is 656411501.

It can be written as a sum of positive squares in only one way, i.e., 85008400 + 20106256 = 9220^2 + 4484^2 .

It is a super-2 number, since 2×1051146562 = 22098181811996672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1642385 + ... + 1642448.

Almost surely, 2105114656 is an apocalyptic number.

105114656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105114656 is a deficient number, since it is larger than the sum of its proper divisors (101829886).

105114656 is an equidigital number, since it uses as much as digits as its factorization.

105114656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284843 (or 3284835 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 105114656 is about 10252.5438794477. The cubic root of 105114656 is about 471.9410536365.

The spelling of 105114656 in words is "one hundred five million, one hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 3284833 6569666 13139332 26278664 52557328 105114656