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106083136 = 264735267
BaseRepresentation
bin1100101001010…
…11001101000000
321101121120201001
412110223031000
5204124130021
614305421344
72425456165
oct624531500
9241546631
10106083136
1154976915
122b63a854
1318c935b3
141013606c
1594a7091
hex652b340

106083136 has 28 divisors (see below), whose sum is σ = 214993728. Its totient is φ = 51911552.

The previous prime is 106083127. The next prime is 106083149. The reversal of 106083136 is 631380601.

It is a super-2 number, since 2×1060831362 = 22507263487188992, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 14626 + ... + 20641.

Almost surely, 2106083136 is an apocalyptic number.

106083136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106083136 is an abundant number, since it is smaller than the sum of its proper divisors (108910592).

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

106083136 is an equidigital number, since it uses as much as digits as its factorization.

106083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35326 (or 35316 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 106083136 is about 10299.6667907268. Note that the first 3 decimals coincide. The cubic root of 106083136 is about 473.3860436351.

The spelling of 106083136 in words is "one hundred six million, eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 35267 70534 141068 282136 564272 1128544 1657549 2257088 3315098 6630196 13260392 26520784 53041568 106083136