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106419135 = 3522433163
BaseRepresentation
bin1100101011111…
…01001110111111
321102020122121110
412111331032333
5204220403020
614320533103
72431355604
oct625751677
9242218543
10106419135
11550862a9
122b781193
1319080504
14101c26ab
1595218e0
hex657d3bf

106419135 has 16 divisors (see below), whose sum is σ = 170400384. Its totient is φ = 56713632.

The previous prime is 106419121. The next prime is 106419143. The reversal of 106419135 is 531914601.

It is not a de Polignac number, because 106419135 - 27 = 106419007 is a prime.

It is a super-2 number, since 2×1064191352 = 22650064588296450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32064 + ... + 35226.

It is an arithmetic number, because the mean of its divisors is an integer number (10650024).

Almost surely, 2106419135 is an apocalyptic number.

106419135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106419135 is a deficient number, since it is larger than the sum of its proper divisors (63981249).

106419135 is a wasteful number, since it uses less digits than its factorization.

106419135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 106419135 is about 10315.9650542254. The cubic root of 106419135 is about 473.8853049060.

The spelling of 106419135 in words is "one hundred six million, four hundred nineteen thousand, one hundred thirty-five".

Divisors: 1 3 5 15 2243 3163 6729 9489 11215 15815 33645 47445 7094609 21283827 35473045 106419135