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105268144 = 2429226871
BaseRepresentation
bin1100100011001…
…00001110110000
321100002011202011
412101210032300
5203422040034
614240132304
72415523132
oct621441660
9240064664
10105268144
115446a573
122b307094
1318a69657
14dda3052
159395864
hex64643b0

105268144 has 20 divisors (see below), whose sum is σ = 210990960. Its totient is φ = 50818880.

The previous prime is 105268139. The next prime is 105268181. The reversal of 105268144 is 441862501.

It is a super-2 number, since 2×1052681442 = 22162764282409472, which contains 22 as substring.

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 in 3 ways as a sum of consecutive naturals, for example, 112972 + ... + 113899.

It is an arithmetic number, because the mean of its divisors is an integer number (10549548).

Almost surely, 2105268144 is an apocalyptic number.

It is an amenable number.

105268144 is an abundant number, since it is smaller than the sum of its proper divisors (105722816).

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

105268144 is a wasteful number, since it uses less digits than its factorization.

105268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226908 (or 226902 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 105268144 is about 10260.0265106870. The cubic root of 105268144 is about 472.1706507331.

It can be divided in two parts, 1052 and 68144, that added together give a palindrome (69196).

The spelling of 105268144 in words is "one hundred five million, two hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 226871 453742 907484 1814968 3629936 6579259 13158518 26317036 52634072 105268144