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105185399 = 1121145319
BaseRepresentation
bin1100100010100…
…00000001110111
321022220222020112
412101100001313
5203411413044
614234253235
72415026654
oct621200167
9238828215
10105185399
1154413390
122b28721b
1318a3aaa7
14dd80c2b
15937b09e
hex6450077

105185399 has 8 divisors (see below), whose sum is σ = 115294080. Its totient is φ = 95167800.

The previous prime is 105185357. The next prime is 105185401. The reversal of 105185399 is 993581501.

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 105185399 - 216 = 105119863 is a prime.

It is a super-2 number, since 2×1051853992 = 22127936325578402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105185329) 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, 20339 + ... + 24980.

It is an arithmetic number, because the mean of its divisors is an integer number (14411760).

Almost surely, 2105185399 is an apocalyptic number.

105185399 is a deficient number, since it is larger than the sum of its proper divisors (10108681).

105185399 is a wasteful number, since it uses less digits than its factorization.

105185399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45541.

The product of its (nonzero) digits is 48600, while the sum is 41.

The square root of 105185399 is about 10255.9933209807. The cubic root of 105185399 is about 472.0469032558.

The spelling of 105185399 in words is "one hundred five million, one hundred eighty-five thousand, three hundred ninety-nine".

Divisors: 1 11 211 2321 45319 498509 9562309 105185399