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105532457 = 2336732
BaseRepresentation
bin1100100101001…
…00110000101001
321100120121022112
412102210300221
5204004014312
614245532105
72421003542
oct622446051
9240517275
10105532457
1154630108
122b414035
1318b2ca54
14100314c9
1593e8d22
hex64a4c29

105532457 has 6 divisors (see below), whose sum is σ = 106143102. Its totient is φ = 104923392.

The previous prime is 105532439. The next prime is 105532499. The reversal of 105532457 is 754235501.

It can be written as a sum of positive squares in 3 ways, for example, as 346921 + 105185536 = 589^2 + 10256^2 .

It is not a de Polignac number, because 105532457 - 26 = 105532393 is a prime.

It is a super-2 number, since 2×1055324572 = 22274198960913698, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105532157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156473 + ... + 157145.

It is an arithmetic number, because the mean of its divisors is an integer number (17690517).

Almost surely, 2105532457 is an apocalyptic number.

It is an amenable number.

105532457 is a deficient number, since it is larger than the sum of its proper divisors (610645).

105532457 is an frugal number, since it uses more digits than its factorization.

105532457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 105532457 is about 10272.8991526248. The cubic root of 105532457 is about 472.5655043886.

Adding to 105532457 its reverse (754235501), we get a palindrome (859767958).

The spelling of 105532457 in words is "one hundred five million, five hundred thirty-two thousand, four hundred fifty-seven".

Divisors: 1 233 673 156809 452929 105532457