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105232125 = 353172971
BaseRepresentation
bin1100100010110…
…11011011111101
321100000100100010
412101123123331
5203414412000
614235253433
72415313125
oct621333375
9240010303
10105232125
11544454a9
122b2aa279
1318a5613b
14dd93c85
159389d50
hex645b6fd

105232125 has 48 divisors (see below), whose sum is σ = 186204096. Its totient is φ = 52768000.

The previous prime is 105232123. The next prime is 105232147. The reversal of 105232125 is 521232501.

It is not a de Polignac number, because 105232125 - 21 = 105232123 is a prime.

It is a super-2 number, since 2×1052321252 = 22147600264031250, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107890 + ... + 108860.

It is an arithmetic number, because the mean of its divisors is an integer number (3879252).

Almost surely, 2105232125 is an apocalyptic number.

105232125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105232125 is a deficient number, since it is larger than the sum of its proper divisors (80971971).

105232125 is an equidigital number, since it uses as much as digits as its factorization.

105232125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105232125 is about 10258.2710531551. The cubic root of 105232125 is about 472.1167912775.

Adding to 105232125 its reverse (521232501), we get a palindrome (626464626).

The spelling of 105232125 in words is "one hundred five million, two hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 289 375 425 867 971 1275 1445 2125 2913 4335 4855 6375 7225 14565 16507 21675 24275 36125 49521 72825 82535 108375 121375 247605 280619 364125 412675 841857 1238025 1403095 2063375 4209285 6190125 7015475 21046425 35077375 105232125