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106408989 = 3282114401
BaseRepresentation
bin1100101011110…
…10110000011101
321102020010200200
412111322300131
5204220041424
614320414113
72431314201
oct625726035
9242203620
10106408989
1155079715
122b777339
13190789cb
14101bcb01
15951d8c9
hex657ac1d

106408989 has 12 divisors (see below), whose sum is σ = 153899772. Its totient is φ = 70848000.

The previous prime is 106408979. The next prime is 106408993. The reversal of 106408989 is 989804601.

It can be written as a sum of positive squares in 2 ways, for example, as 80245764 + 26163225 = 8958^2 + 5115^2 .

It is not a de Polignac number, because 106408989 - 28 = 106408733 is a prime.

It is a super-2 number, since 2×1064089892 = 22645745880004242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106408909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189 + ... + 14589.

It is an arithmetic number, because the mean of its divisors is an integer number (12824981).

Almost surely, 2106408989 is an apocalyptic number.

It is an amenable number.

106408989 is a deficient number, since it is larger than the sum of its proper divisors (47490783).

106408989 is a wasteful number, since it uses less digits than its factorization.

106408989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15228 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 106408989 is about 10315.4732804656. The cubic root of 106408989 is about 473.8702443528.

The spelling of 106408989 in words is "one hundred six million, four hundred eight thousand, nine hundred eighty-nine".

Divisors: 1 3 9 821 2463 7389 14401 43203 129609 11823221 35469663 106408989