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105388444 = 2273763873
BaseRepresentation
bin1100100100000…
…01100110011100
321100022021202201
412102001212130
5203434412234
614242501244
72416533640
oct622014634
9240267681
10105388444
1154541997
122b364824
1318aac335
14ddd4c20
1593bb314
hex648199c

105388444 has 12 divisors (see below), whose sum is σ = 210776944. Its totient is φ = 45166464.

The previous prime is 105388441. The next prime is 105388447. The reversal of 105388444 is 444883501.

It is an interprime number because it is at equal distance from previous prime (105388441) and next prime (105388447).

105388444 is an admirable number.

It is a super-2 number, since 2×1053884442 = 22213448257482272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105388441) 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 3 ways as a sum of consecutive naturals, for example, 1881909 + ... + 1881964.

Almost surely, 2105388444 is an apocalyptic number.

105388444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105388444 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105388444 is a wasteful number, since it uses less digits than its factorization.

105388444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763884 (or 3763882 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 105388444 is about 10265.8873946678. The cubic root of 105388444 is about 472.3504471498.

The spelling of 105388444 in words is "one hundred five million, three hundred eighty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 3763873 7527746 15055492 26347111 52694222 105388444