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105343424 = 261796823
BaseRepresentation
bin1100100011101…
…10100111000000
321100020000000022
412101312213000
5203431442144
614241513012
72416255454
oct621664700
9240200008
10105343424
115451108a
122b342768
1318a949b4
14ddc2664
1593accee
hex64769c0

105343424 has 28 divisors (see below), whose sum is σ = 221339664. Its totient is φ = 49572864.

The previous prime is 105343409. The next prime is 105343463. The reversal of 105343424 is 424343501.

It is a super-2 number, since 2×1053434242 = 22194473960087552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105343393 and 105343402.

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, 47324 + ... + 49499.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2105343424 is an apocalyptic number.

It is an amenable number.

105343424 is an abundant number, since it is smaller than the sum of its proper divisors (115996240).

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

105343424 is an equidigital number, since it uses as much as digits as its factorization.

105343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96852 (or 96842 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 105343424 is about 10263.6944615475. The cubic root of 105343424 is about 472.2831777697.

Adding to 105343424 its reverse (424343501), we get a palindrome (529686925).

The spelling of 105343424 in words is "one hundred five million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 96823 193646 387292 774584 1549168 1645991 3098336 3291982 6196672 6583964 13167928 26335856 52671712 105343424