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105334337 = 971736277
BaseRepresentation
bin1100100011101…
…00011001000001
321100012112112202
412101310121001
5203431144322
614241402545
72416220123
oct621643101
9240175482
10105334337
1154505279
122b339455
1318a90814
14ddbd213
1593aa292
hex6474641

105334337 has 8 divisors (see below), whose sum is σ = 107052456. Its totient is φ = 103629312.

The previous prime is 105334321. The next prime is 105334357. The reversal of 105334337 is 733433501.

It can be written as a sum of positive squares in 4 ways, for example, as 67092481 + 38241856 = 8191^2 + 6184^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105334337 - 24 = 105334321 is a prime.

It is a super-2 number, since 2×1053343372 = 22190645102459138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105334357) 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 7 ways as a sum of consecutive naturals, for example, 13643 + ... + 19919.

It is an arithmetic number, because the mean of its divisors is an integer number (13381557).

Almost surely, 2105334337 is an apocalyptic number.

It is an amenable number.

105334337 is a deficient number, since it is larger than the sum of its proper divisors (1718119).

105334337 is an equidigital number, since it uses as much as digits as its factorization.

105334337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547.

The product of its (nonzero) digits is 11340, while the sum is 29.

The square root of 105334337 is about 10263.2517751442. The cubic root of 105334337 is about 472.2695975497.

Adding to 105334337 its reverse (733433501), we get a palindrome (838767838).

The spelling of 105334337 in words is "one hundred five million, three hundred thirty-four thousand, three hundred thirty-seven".

Divisors: 1 97 173 6277 16781 608869 1085921 105334337