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105424332 = 22313675797
BaseRepresentation
bin1100100100010…
…10010111001100
321100101002222220
412102022113030
5203442034312
614243335340
72420043366
oct622122714
9240332886
10105424332
1154566952
122b381550
1318ac2780
1410003d36
1593c6c8c
hex648a5cc

105424332 has 24 divisors (see below), whose sum is σ = 264912816. Its totient is φ = 32438208.

The previous prime is 105424321. The next prime is 105424357. The reversal of 105424332 is 233424501.

It is a super-2 number, since 2×1054243322 = 22228579555292448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337743 + ... + 338054.

It is an arithmetic number, because the mean of its divisors is an integer number (11038034).

Almost surely, 2105424332 is an apocalyptic number.

105424332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105424332 is an abundant number, since it is smaller than the sum of its proper divisors (159488484).

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

105424332 is a wasteful number, since it uses less digits than its factorization.

105424332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675817 (or 675815 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 105424332 is about 10267.6351707684. The cubic root of 105424332 is about 472.4040576735.

Adding to 105424332 its reverse (233424501), we get a palindrome (338848833).

The spelling of 105424332 in words is "one hundred five million, four hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 675797 1351594 2027391 2703188 4054782 8109564 8785361 17570722 26356083 35141444 52712166 105424332