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105135191 = 717883489
BaseRepresentation
bin1100100010000…
…11110001010111
321022211102100222
412101003301113
5203403311231
614233224555
72414430410
oct621036127
9238742328
10105135191
1154389697
122b26215b
1318a20c95
14dd6a807
15936b27b
hex6443c57

105135191 has 8 divisors (see below), whose sum is σ = 127222560. Its totient is φ = 84814848.

The previous prime is 105135169. The next prime is 105135221. The reversal of 105135191 is 191531501.

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 105135191 - 210 = 105134167 is a prime.

It is a super-2 number, since 2×1051351912 = 22106816773212962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105135191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105135131) 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 7 ways as a sum of consecutive naturals, for example, 441626 + ... + 441863.

It is an arithmetic number, because the mean of its divisors is an integer number (15902820).

Almost surely, 2105135191 is an apocalyptic number.

105135191 is a deficient number, since it is larger than the sum of its proper divisors (22087369).

105135191 is an equidigital number, since it uses as much as digits as its factorization.

105135191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883513.

The product of its (nonzero) digits is 675, while the sum is 26.

The square root of 105135191 is about 10253.5452893134. The cubic root of 105135191 is about 471.9717841387.

Adding to 105135191 its reverse (191531501), we get a palindrome (296666692).

The spelling of 105135191 in words is "one hundred five million, one hundred thirty-five thousand, one hundred ninety-one".

Divisors: 1 7 17 119 883489 6184423 15019313 105135191