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105743892056 = 23111201635137
BaseRepresentation
bin110001001111011010…
…0111011111001011000
3101002221110210021212112
41202132310323321120
53213030414021211
6120324510331452
710432301152325
oct1423664737130
9332843707775
10105743892056
1140933741230
12185b14b9b88
139c8280793a
145191c43b4c
152b3d63388b
hex189ed3be58

105743892056 has 16 divisors (see below), whose sum is σ = 216294324840. Its totient is φ = 48065405440.

The previous prime is 105743892013. The next prime is 105743892061. The reversal of 105743892056 is 650298347501.

It is a happy number.

It is a super-2 number, since 2×1057438920562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105743891995 and 105743892013.

It is a congruent number.

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, 600817481 + ... + 600817656.

It is a 1-persistent number, because it is pandigital, but 2⋅105743892056 = 211487784112 is not.

Almost surely, 2105743892056 is an apocalyptic number.

It is an amenable number.

105743892056 is an abundant number, since it is smaller than the sum of its proper divisors (110550432784).

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

105743892056 is a wasteful number, since it uses less digits than its factorization.

105743892056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201635154 (or 1201635150 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

Subtracting 105743892056 from its reverse (650298347501), we obtain a palindrome (544554455445).

It can be divided in two parts, 105743 and 892056, that added together give a palindrome (997799).

The spelling of 105743892056 in words is "one hundred five billion, seven hundred forty-three million, eight hundred ninety-two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 88 1201635137 2403270274 4806540548 9613081096 13217986507 26435973014 52871946028 105743892056