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105542341 = 177989883
BaseRepresentation
bin1100100101001…
…11001011000101
321100121002212121
412102213023011
5204004323331
614250045541
72421044422
oct622471305
9240532777
10105542341
1154637583
122b4198b1
1318b343b8
1410034d49
1593ebc11
hex64a72c5

105542341 has 16 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 96864768.

The previous prime is 105542317. The next prime is 105542351. The reversal of 105542341 is 143245501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105542341 - 25 = 105542309 is a prime.

It is a super-2 number, since 2×1055423412 = 22278371487520562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105542351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119086 + ... + 119968.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2105542341 is an apocalyptic number.

It is an amenable number.

105542341 is a deficient number, since it is larger than the sum of its proper divisors (9024059).

105542341 is an equidigital number, since it uses as much as digits as its factorization.

105542341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105542341 is about 10273.3802129581. The cubic root of 105542341 is about 472.5802571695.

Adding to 105542341 its reverse (143245501), we get a palindrome (248787842).

The spelling of 105542341 in words is "one hundred five million, five hundred forty-two thousand, three hundred forty-one".

Divisors: 1 17 79 89 883 1343 1513 7031 15011 69757 78587 119527 1185869 1335979 6208373 105542341