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106535299 = 131929107139
BaseRepresentation
bin1100101100110…
…01100110000011
321102110112221211
412112121212003
5204233112144
614323230551
72432351353
oct626314603
9242415854
10106535299
1155155602
122b818457
13190c1350
1410212b63
159546034
hex6599983

106535299 has 32 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 88470144.

The previous prime is 106535291. The next prime is 106535339. The reversal of 106535299 is 992535601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106535299 - 23 = 106535291 is a prime.

It is a super-2 number, since 2×1065352992 = 22699539866038802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106535291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 766372 + ... + 766510.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2106535299 is an apocalyptic number.

106535299 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106535299 is a deficient number, since it is larger than the sum of its proper divisors (20472701).

106535299 is a wasteful number, since it uses less digits than its factorization.

106535299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 106535299 is about 10321.5938207236. The cubic root of 106535299 is about 474.0576686291.

The spelling of 106535299 in words is "one hundred six million, five hundred thirty-five thousand, two hundred ninety-nine".

Divisors: 1 13 19 29 107 139 247 377 551 1391 1807 2033 2641 3103 4031 7163 14873 26429 34333 40339 52403 58957 76589 193349 282587 431317 766441 995657 3673631 5607121 8195023 106535299