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106086380 = 2256538123
BaseRepresentation
bin1100101001010…
…11111111101100
321101121202011012
412110223333230
5204124231010
614305444352
72425501511
oct624537754
9241552135
10106086380
11549792a4
122b6406b8
1318c94c0a
1410137308
1594a8005
hex652bfec

106086380 has 24 divisors (see below), whose sum is σ = 223150032. Its totient is φ = 42364352.

The previous prime is 106086359. The next prime is 106086389. The reversal of 106086380 is 83680601.

It is a super-2 number, since 2×1060863802 = 22508640043008800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106086389) 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 7 ways as a sum of consecutive naturals, for example, 8999 + ... + 17121.

It is an arithmetic number, because the mean of its divisors is an integer number (9297918).

Almost surely, 2106086380 is an apocalyptic number.

106086380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106086380 is an abundant number, since it is smaller than the sum of its proper divisors (117063652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106086380 is a wasteful number, since it uses less digits than its factorization.

106086380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 106086380 is about 10299.8242703456. The cubic root of 106086380 is about 473.3908689345.

The spelling of 106086380 in words is "one hundred six million, eighty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 653 1306 2612 3265 6530 8123 13060 16246 32492 40615 81230 162460 5304319 10608638 21217276 26521595 53043190 106086380