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105524053 is a prime number
BaseRepresentation
bin1100100101000…
…10101101010101
321100120011210021
412102202231111
5204003232203
614245425141
72420640205
oct622425525
9240504707
10105524053
1154624868
122b40b1b1
1318b28c8b
141002c405
1593e65bd
hex64a2b55

105524053 has 2 divisors, whose sum is σ = 105524054. Its totient is φ = 105524052.

The previous prime is 105524051. The next prime is 105524057. The reversal of 105524053 is 350425501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91068849 + 14455204 = 9543^2 + 3802^2 .

It is a cyclic number.

It is not a de Polignac number, because 105524053 - 21 = 105524051 is a prime.

It is a super-2 number, since 2×1055240532 = 22270651523093618, which contains 22 as substring.

Together with 105524051, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105524051) 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, 52762026 + 52762027.

It is an arithmetic number, because the mean of its divisors is an integer number (52762027).

Almost surely, 2105524053 is an apocalyptic number.

It is an amenable number.

105524053 is a deficient number, since it is larger than the sum of its proper divisors (1).

105524053 is an equidigital number, since it uses as much as digits as its factorization.

105524053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 105524053 is about 10272.4901070773. The cubic root of 105524053 is about 472.5529599195.

Adding to 105524053 its reverse (350425501), we get a palindrome (455949554).

The spelling of 105524053 in words is "one hundred five million, five hundred twenty-four thousand, fifty-three".