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105153323 = 1114964157
BaseRepresentation
bin1100100010010…
…00001100101011
321022212100020112
412101020030223
5203404401243
614233444535
72414534312
oct621101453
9238770215
10105153323
11543a1280
122b27074b
1318a29302
14dd73279
159371818
hex644832b

105153323 has 8 divisors (see below), whose sum is σ = 115484400. Its totient is φ = 94950880.

The previous prime is 105153311. The next prime is 105153337. The reversal of 105153323 is 323351501.

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 105153323 - 26 = 105153259 is a prime.

It is a super-2 number, since 2×1051533232 = 22114442675884658, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105150323) 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, 30440 + ... + 33717.

It is an arithmetic number, because the mean of its divisors is an integer number (14435550).

Almost surely, 2105153323 is an apocalyptic number.

105153323 is a deficient number, since it is larger than the sum of its proper divisors (10331077).

105153323 is a wasteful number, since it uses less digits than its factorization.

105153323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64317.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105153323 is about 10254.4294331767. The cubic root of 105153323 is about 471.9989152398.

The spelling of 105153323 in words is "one hundred five million, one hundred fifty-three thousand, three hundred twenty-three".

Divisors: 1 11 149 1639 64157 705727 9559393 105153323