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105430353 = 3737472887
BaseRepresentation
bin1100100100010…
…11110101010001
321100101102020220
412102023311101
5203442232403
614243423253
72420100060
oct622136521
9240342226
10105430353
1154570426
122b384b29
1318ac5432
14100061d7
1593c8953
hex648bd51

105430353 has 32 divisors (see below), whose sum is σ = 168566784. Its totient is φ = 57350592.

The previous prime is 105430343. The next prime is 105430361. The reversal of 105430353 is 353034501.

It is a happy number.

It is not a de Polignac number, because 105430353 - 24 = 105430337 is a prime.

It is a super-2 number, since 2×1054303532 = 22231118667409218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105430313) 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 31 ways as a sum of consecutive naturals, for example, 35076 + ... + 37962.

It is an arithmetic number, because the mean of its divisors is an integer number (5267712).

Almost surely, 2105430353 is an apocalyptic number.

It is an amenable number.

105430353 is a deficient number, since it is larger than the sum of its proper divisors (63136431).

105430353 is a wasteful number, since it uses less digits than its factorization.

105430353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 105430353 is about 10267.9283694424. The cubic root of 105430353 is about 472.4130508241.

Adding to 105430353 its reverse (353034501), we get a palindrome (458464854).

The spelling of 105430353 in words is "one hundred five million, four hundred thirty thousand, three hundred fifty-three".

Divisors: 1 3 7 21 37 47 111 141 259 329 777 987 1739 2887 5217 8661 12173 20209 36519 60627 106819 135689 320457 407067 747733 949823 2243199 2849469 5020493 15061479 35143451 105430353