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106987185 = 3252377493
BaseRepresentation
bin1100110000001…
…11111010110001
321110022111211100
412120013322301
5204342042220
614341035013
72436242664
oct630077261
9243274740
10106987185
1155434068
122b9b5a69
131921bc36
14102cd6db
1595d4d90
hex6607eb1

106987185 has 12 divisors (see below), whose sum is σ = 185444532. Its totient is φ = 57059808.

The previous prime is 106987129. The next prime is 106987187. The reversal of 106987185 is 581789601.

It can be written as a sum of positive squares in 2 ways, for example, as 70408881 + 36578304 = 8391^2 + 6048^2 .

It is not a de Polignac number, because 106987185 - 27 = 106987057 is a prime.

It is a super-2 number, since 2×1069871852 = 22892515508448450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2377493 = 106987185 / (1 + 0 + 6 + 9 + 8 + 7 + 1 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 106987185.

It is not an unprimeable number, because it can be changed into a prime (106987187) 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, 1188702 + ... + 1188791.

It is an arithmetic number, because the mean of its divisors is an integer number (15453711).

Almost surely, 2106987185 is an apocalyptic number.

106987185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106987185 is a deficient number, since it is larger than the sum of its proper divisors (78457347).

106987185 is a wasteful number, since it uses less digits than its factorization.

106987185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377504 (or 2377501 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 106987185 is about 10343.4609778352. The cubic root of 106987185 is about 474.7269862320.

The spelling of 106987185 in words is "one hundred six million, nine hundred eighty-seven thousand, one hundred eighty-five".

Divisors: 1 3 5 9 15 45 2377493 7132479 11887465 21397437 35662395 106987185