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105542189 is a prime number
BaseRepresentation
bin1100100101001…
…11001000101101
321100121002122222
412102213020231
5204004322224
614250045125
72421044114
oct622471055
9240532588
10105542189
1154637455
122b4197a5
1318b342cc
1410034c7b
1593ebb5e
hex64a722d

105542189 has 2 divisors, whose sum is σ = 105542190. Its totient is φ = 105542188.

The previous prime is 105542179. The next prime is 105542191. The reversal of 105542189 is 981245501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74684164 + 30858025 = 8642^2 + 5555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105542189 is a prime.

It is a super-2 number, since 2×1055421892 = 22278307317823442, which contains 22 as substring.

Together with 105542191, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105542149) 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 as a sum of consecutive naturals, namely, 52771094 + 52771095.

It is an arithmetic number, because the mean of its divisors is an integer number (52771095).

Almost surely, 2105542189 is an apocalyptic number.

It is an amenable number.

105542189 is a deficient number, since it is larger than the sum of its proper divisors (1).

105542189 is an equidigital number, since it uses as much as digits as its factorization.

105542189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 105542189 is about 10273.3728151956. The cubic root of 105542189 is about 472.5800303024.

The spelling of 105542189 in words is "one hundred five million, five hundred forty-two thousand, one hundred eighty-nine".