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106919589 = 3731164239
BaseRepresentation
bin1100101111101…
…11011010100101
321110012002002210
412113313122211
5204332411324
614335354033
72435541630
oct627673245
9243162083
10106919589
11553982a7
122b982919
13191c723a
14102b2c17
1595bed29
hex65f76a5

106919589 has 16 divisors (see below), whose sum is σ = 168181760. Its totient is φ = 59125680.

The previous prime is 106919581. The next prime is 106919591. The reversal of 106919589 is 985919601.

It is not a de Polignac number, because 106919589 - 23 = 106919581 is a prime.

It is a super-2 number, since 2×1069195892 = 22863597023857842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106919581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81469 + ... + 82770.

It is an arithmetic number, because the mean of its divisors is an integer number (10511360).

Almost surely, 2106919589 is an apocalyptic number.

It is an amenable number.

106919589 is a deficient number, since it is larger than the sum of its proper divisors (61262171).

106919589 is a wasteful number, since it uses less digits than its factorization.

106919589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164280.

The product of its (nonzero) digits is 174960, while the sum is 48.

The square root of 106919589 is about 10340.1928898836. The cubic root of 106919589 is about 474.6269854517.

The spelling of 106919589 in words is "one hundred six million, nine hundred nineteen thousand, five hundred eighty-nine".

Divisors: 1 3 7 21 31 93 217 651 164239 492717 1149673 3449019 5091409 15274227 35639863 106919589