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106009384 = 23132935149
BaseRepresentation
bin1100101000110…
…01001100101000
321101110211112111
412110121030220
5204114300014
614304052104
72425031155
oct624311450
9241424474
10106009384
1154926468
122b604034
1318c68b60
141011722c
1594902c4
hex6519328

106009384 has 32 divisors (see below), whose sum is σ = 221445000. Its totient is φ = 47238912.

The previous prime is 106009363. The next prime is 106009391. The reversal of 106009384 is 483900601.

It can be written as a sum of positive squares in 4 ways, for example, as 87946884 + 18062500 = 9378^2 + 4250^2 .

It is a super-2 number, since 2×1060093842 = 22475978992118912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14559 + ... + 20590.

Almost surely, 2106009384 is an apocalyptic number.

It is an amenable number.

106009384 is an abundant number, since it is smaller than the sum of its proper divisors (115435616).

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

106009384 is a wasteful number, since it uses less digits than its factorization.

106009384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35197 (or 35193 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 106009384 is about 10296.0858582279. The cubic root of 106009384 is about 473.2763144083.

Adding to 106009384 its reverse (483900601), we get a palindrome (589909985).

The spelling of 106009384 in words is "one hundred six million, nine thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 35149 70298 140596 281192 456937 913874 1019321 1827748 2038642 3655496 4077284 8154568 13251173 26502346 53004692 106009384