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106536465 = 345737579
BaseRepresentation
bin1100101100110…
…01111000010001
321102110121120000
412112121320101
5204233131330
614323240213
72432354640
oct626317021
9242417500
10106536465
1155156472
122b819069
13190c1a39
1410213357
159546560
hex6599e11

106536465 has 40 divisors (see below), whose sum is σ = 218264640. Its totient is φ = 48701088.

The previous prime is 106536427. The next prime is 106536473. The reversal of 106536465 is 564635601.

106536465 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 646 + 5 = 666.

It is not a de Polignac number, because 106536465 - 27 = 106536337 is a prime.

It is a super-2 number, since 2×1065364652 = 22700036749392450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15955 + ... + 21624.

It is an arithmetic number, because the mean of its divisors is an integer number (5456616).

Almost surely, 2106536465 is an apocalyptic number.

106536465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106536465 is an abundant number, since it is smaller than the sum of its proper divisors (111728175).

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

106536465 is an equidigital number, since it uses as much as digits as its factorization.

106536465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37603 (or 37594 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 106536465 is about 10321.6503040938. The cubic root of 106536465 is about 474.0593981004.

The spelling of 106536465 in words is "one hundred six million, five hundred thirty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 37579 112737 187895 263053 338211 563685 789159 1014633 1315265 1691055 2367477 3043899 3945795 5073165 7102431 11837385 15219495 21307293 35512155 106536465